1. Harish-Chandra Research Institute (Formerly Mehta Institute of Mathematics and Mathematical Physics). Allahabad, India.Category Science Math Research Institutes...... Annual Report (20012002). Positions at HRI. Web Mail. Contacts.Web Directory. Wildlife at HRI. © harish-chandra Research Institute. http://www.mri.ernet.in/

Formerly known as the Mehta Research Institute of Mathematics and Mathematical Physics In the News VSSP Summer Programme 2003 Annual Report Positions at HRI Web Mail Contacts Web Directory document.write("Last Updated:" +document.lastModified ); © Harish-Chandra Research Institute

2. Harish-Chandra Research Insitute - School Of Mathematics We have faculty working in number theory (algebraic, analytic, combinatorial), automorphicforms, representation theory, commutative algebra, algebraic geometry http://www.mri.ernet.in/~mathweb/

Home Mathematics We have faculty working in number theory (algebraic, analytic, combinatorial), lie groups, representation theory, group theory, algebraic groups, harmonic analysis and differential geometry. The institute and the school of mathematics are in a state of rapid growth, and we expect more areas to be represented. We have active doctoral and post-doctoral programmes. Here you can get more information about the admissions for the doctoral programmes. For information on post-doctoral positions, please write to Prof. R. Kulkarni ( director@mri.ernet.in JEST 2002 Question Paper for Mathematics take-home exam download from here . Here is a format of the application form . For this years application form and question paper, please see I.M.Sc. webpage. The Institute seeks applications for faculty positions in all areas of Pure Mathematics. Applicant could be of any nationality. The Institute has only graduate programme and the teaching load is typically one semester long course per year at the graduate level. Selected candidates are given essentially free on-campus accommodation besides an attractive salary (for Indian conditions!). There is a policy of generous leave and travel support. Exceptional candidates can be offered joint appointments. We have VSSP ( Visiting Student Summer Programme ) for undergraduate ( B.Sc. and M.Sc.) students every summer. More details on the VSP can be obtained

3. Harish-Chandra Biography of harishchandra (1923-1983) harish-chandra. Born 11 Oct 1923 in Kanpur, Uttar Pradesh, India http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Harish-Chandra.html

Harish-Chandra Born: 11 Oct 1923 in Kanpur, Uttar Pradesh, India Died: 16 Oct 1983 in Princeton, New Jersey, USA Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Harish-Chandra attended school in Kanpur, then attended the University of Allahabad. Here he studied theoretical physics, this direction being the result of studying Principles of Quantum Mechanics by Dirac . He was awarded a master's degree in 1943 and then he went to Bangalore to work further on theoretical physics. After a short while Harish-Chandra went to Cambridge where he studied for his Ph.D. under Dirac 's supervision. During his time in Cambridge he moved away from physics and became more interested in mathematics. While at Cambridge he attended a lecture by Pauli and pointed out a mistake in Pauli 's work. The two were to become life long friends. Harish-Chandra obtained his degree in 1947 and, the same year, he went to the USA. Dirac visited Princeton for one year and Harish-Chandra worked as his assistant during this time. However he was greatly influenced by

4. Instructional School On Linear Algebra harishchandra Research Institute, Allahabad, India; 315 December 2001. http://www.mri.ernet.in/~mathweb/linalg.html

Instructional School On Linear Algebra December 3-15, 2001 at Harish-Chandra Research Institute, Allahabad sponsored by Indian Academy of Sciences, Bangalore In December 1999 the Indian Academy of Sciences sponsored an intensive course on Linear Algebra at Panjab University, Chandigarh.The objective of the course were to help the participants broaden their knowledge, and to develope problem-solving abilities. The course was attended by about 30 college/university teachers and research students from all over India. A second course on Linear Algebra will now be held at Harish-Chandra Research Institute, Allahabad. About 30 college/university teachers will be invited to attend.There will be formal lectures and many problem sessions and discussions in which all attending the course are expected to participate. Outlines of the course: Matrix analysis: Eigenvalues and singular values, convexity, majorisation, variational principles. Classical groups and representation theory of finite groups. Infinite linear groups.

5. Harish-Chandra harishchandra. Born 11 Oct harish-chandra attended school in Kanpur,then attended the University of Allahabad. Here he studied http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Harish-Chandra.html

Harish-Chandra Born: 11 Oct 1923 in Kanpur, Uttar Pradesh, India Died: 16 Oct 1983 in Princeton, New Jersey, USA Click the picture above to see two larger pictures Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Harish-Chandra attended school in Kanpur, then attended the University of Allahabad. Here he studied theoretical physics, this direction being the result of studying Principles of Quantum Mechanics by Dirac . He was awarded a master's degree in 1943 and then he went to Bangalore to work further on theoretical physics. After a short while Harish-Chandra went to Cambridge where he studied for his Ph.D. under Dirac 's supervision. During his time in Cambridge he moved away from physics and became more interested in mathematics. While at Cambridge he attended a lecture by Pauli and pointed out a mistake in Pauli 's work. The two were to become life long friends. Harish-Chandra obtained his degree in 1947 and, the same year, he went to the USA. Dirac visited Princeton for one year and Harish-Chandra worked as his assistant during this time. However he was greatly influenced by

6. Instructional Conference On Algebraic Number Theory harishchandra Research Institute, Allahabad, India; 825 November 2000. http://www.mri.ernet.in/~mathweb/numbertheory2000/

HRI Main Page Mathematics Advanced Instructional Workshop on Algebraic Number Theory (with special reference to Elliptic Curves) (November 8 25, 2000) This workshop will be followed by an International Conference on Number Theory from November 26 to November 29, 2000. Useful Links: Topics to be covered Weekly Schedule List of Speakers Local Coordinators: Dr. S. D. Adhikari. Cabin No. 3, Phone No. (O) 2017, (R) 4017 e-mail: Dr. B. Ramakrishnan Cabin No. 6, Phone No. (O) 2019, (R) 4019 e-mail: Organizing Committee HRI Math Page HRI Main Page Last modified: Sun Nov 5 03:01:50 IST 2000 by Shripad

7. References For Harish-Chandra References for harishchandra. Biography in Dictionary of Scientific Biography(New York 1970-1990). Articles RA Herb, harish-chandra and his work, Bull. http://www-gap.dcs.st-and.ac.uk/~history/References/Harish-Chandra.html

References for Harish-Chandra Biography in Dictionary of Scientific Biography (New York 1970-1990). Articles: R A Herb, Harish-Chandra and his work, Bull. Amer. Math. Soc. V Kumar Murty, Ramanujan and Harish-Chandra, The Mathematical Intelligencer R P Langlands, Harish-Chandra, Biographical Memoirs of Fellows of the Royal Society of London S L Srivastava, About Harish Chandra, Ganita-Bharati. Bulletin of the Indian Society for the History of Mathematics V S Varadarajan, Harish-Chandra (1923- 1983), The Mathematical Intelligencer V S Varadarajan, Harish-Chandra 1923- 1983, Journal Indian Mathematical Society Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR October 1997 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/history/References/Harish-Chandra.html

8. Introduction - Harischandra Maj Gen Harish Chandra Pathak, MVC. During the IndoPak war in December 1971, Lt. Col. H.C. http://freeindia.org/biographies/harischandra

Search Freedom Fighters Great Kings Great Devotees Great Poets ... Great Personalities HARISCHANDRA Introduction With his vow to remain truthful at all times, Harischandra successfully faced the rigorous challenge posed by Vishwamitra. Though a king. He sacrificed everything he had at the attar of truth, including his Kingdom, and even his life and son. He took so lowly a job as that of the guard at burning ground; even in the case of his own son he demanded the prescribed fee for cremation, which his wife had no means of paying. On an order from the king, Harischandra even prepared to behead his own wife. Harischandra's character is indelibly etched in the mind of Hindus. Author - R.S.Rama Rao Harischandra The story of Harischandra is of perennial interest. The story will last for as long a time as the value of truth lasts. It illumines our life. It was this story which helped Yudhishtira to get over his adversities. Again, it was this story which showed the path of truth to Gandhiji. This story occurs in the Vedas and also in the Puranas, in poetry and in drama. It took its origin in the Vedas, flowed through the Puranas, ran into cascades of poetry, and has continued to enrich the life of our people. Up Next About Harischandra Introduction "The Child Shall Be Sacrificed"

9. WorkPage: World Locator For New Research PI MCGOVERN MCGOVERN WILL study double cells of harishchandra modules for real classical groups, seeking to understand http://www.workpage.com/f/78/047f.htm

Mathematical Sciences: Cells of Harish-Chandra Modules and the Jacquet Functor. A project at : U of Washington. Research by: One P. Investigator, under an NSF award of 25+ months. WorkPage Links PI: MCGOVERN MCGOVERN WILL study double cells of Harish-Chandra modules for real classical groups, seeking to understand them simultaneously as sets and modules for the complex Weyl group. The main tool to be used is Garfinkle's standard domino tableaux. The main objective is show that every real cell is isomorphic as a based module to a complex cell. This implies that any graded Jacquet functor can be realized as a composition of wall- crossing operators which are easy to compute/ The theory of Lie groups, named in honor of the Norwegian mathematician Sophus Lie, has been one of the major themes in twentieth century mathematics. As the mathematical vehicle for exploiting the symmetries inherent in a system, the representation theory of Lie groups has had a profound impact upon mathematics itself, particularly in analysis and number theory, and upon theoretical physics, especially quantum mechanics and elementary particle physics. OPTIONS (below): Locate RELATED WORK More on THIS Work About WorkPage endWP

10. Ashoke Sen, Harish-Chandra Institute, Tachyons And Open Strings II Schedule Apr 24, 2001 Tachyons and Open Strings II Ashoke Sen, harishchandraInstitute The first few minutes of audio were lost. http://online.itp.ucsb.edu/online/mtheory01/sen1/

Schedule Apr 24, 2001 Tachyons and Open Strings II Ashoke Sen, Harish-Chandra Institute The first few minutes of audio were lost. We apologize for any inconvenience. Audio for this talk requires sound hardware, and RealPlayer or RealAudio by RealNetworks. Audio for this talk requires sound hardware, and RealPlayer or RealAudio by RealNetworks. Begin WebCam and audio for the whole talk: high bandwidth or medium bandwidth Or, begin audio only for the whole talk: high bandwidth or low bandwidth . (Or, right-click to download the whole audio file The first part of the talk was lost. We apologize for any inconvenience. To begin viewing slides, click on the first slide below. (Or, view as pdf Author entry (protected)

11. Harish-Chandra Modules For Yangians Preprint. harishchandra modules for Yangians. V. Futorny, A. Molevand S. Ovsienko. Abstract. We study harish-chandra representations http://www.maths.usyd.edu.au:8000/u/pubs/publist/preprints/2002/futorny-20.html

Preprint Harish-Chandra modules for Yangians V. Futorny, A. Molev and S. Ovsienko Abstract We study Harish-Chandra representations of the Yangian Y(gl(2)) which admit a decomposition with respect to a natural maximal commutative subalgebra Gamma and satisfy a polynomial condition. We prove an analogue of Kostant theorem showing that the restricted Yangian Y_p(gl(2)) is a free module over Gamma and show that every character of Gamma defines a finite number of irreducible Harish-Chandra modules. We study the categories of generic Harish-Chandra modules, describe their simple modules and indecomposable modules in tame blocks. This paper is available as a gzipped dvi (61 kB) file and a PDF (400 kB) file. Date:Wednesday, December 4, 2002 Back to preprint page.

12. HARISH-CHANDRA RESEARCH INSTITUTE WEBMAIL harishchandra RESEARCH INSTITUTE WEBMAIL. Login Password IMHO v0.98 http://proxyserver.mri.ernet.in:8080/mail/

HARISH-CHANDRA RESEARCH INSTITUTE WEBMAIL Login: Password: IMHO v0.98

13. Citation Taa Harish Chandra Award TATA INSTITUTE OF FUNDAMENTAL RESEARCH Homi Bhabha Road, Mumbai 400 005 TAA harish-chandraMEMORIAL AWARD 2000-2001 CITATION Dr. A. Raghuram is selected for http://www.tifr.res.in/~endowment/HTML/Write-ups/citation_raghuram.html

TATA INSTITUTE OF FUNDAMENTAL RESEARCH Homi Bhabha Road, Mumbai 400 005 TAA - HARISH-CHANDRA MEMORIAL AWARD 2000-2001 CITATION Dr. A. Raghuram is selected for the TAA- Harish-Chandra Memorial Award for Mathematics and Computer Science for his Ph.D. thesis titled "Some Topics in Algebraic Groups". Representation theory of Lie Groups, a deep and central area of Mathematics is essentially the creation of Harish-Chandra. Dr. Raghuram's Ph.D. thesis is an excellent recent contribution to this theory. Dr. Raghuram's thesis takes the first steps towards our understanding of representations of the p-adic group GL(2,D), where D is a finite dimensional central division algebra over a p-adic field. The central theme is the development of a Kirillov theory for these groups along the lines of Jaquet and Langlands for GL (2) over the p-adic field. The thesis contains many interesting new results and ideas and the back-ground information used is very impressive. Many of the results in the thesis have recently appeared in the prestigious Duke Mathematics Journal in a joint paper with D. Prasad. PROFILE A Raghuram (b: 1971): Obtained B.Tech. in Computer Science and Engineering from I.I.T. Kanpur in 1992. Had earlier secured 5th rank in Indian National Mathematics Olympiad (1987) and 2nd rank in All India IIT-JEE (1988). Joined School of Mathematics, TIFR in August, 1992 and worked for his Ph.D. thesis under the supervision of Prof. Dipendra Prasad and Prof. M.S. Raghunathan. Spent two years (July 1999 to July 2001) on a post-doctoral assignment at University of Toronto, Toronto, Canada. Since August, 2001, a Visiting Fellow in School of Mathematics, TIFR.

14. The Best Ph Dept. of Theoretical Physics. TAAharish-chandra Memorial Award forthe Best Ph. D. Thesis in Mathematics and Computer Sciences. http://www.tifr.res.in/~endowment/HTML/Write-ups/BestThesis.html

The Best Ph. D. Thesis Awards Prof. B. M. Udgaonkar, the then Professor, Theoretical Physics Department, in memory of his daughter, Late Geeta Udgaonkar, in the year 1983 started this award. Initially the award was for the best Ph. D. thesis in Physics only. The Endowment Committee initiated the nucleation of the TIFR Alumni Association (TAA). One of the aims of TAA is to constructively involve the Alumni of TIFR in the activity of raising Endowments. TAA took the initiative to institute two new additional Best Ph.D Thesis Awards on the lines of the well recognised TAA- Geeta Udgaonkar Award for best thesis in the school of Natural Sciences. In addition to the support received from the members of the TAA, the core amounts have been made available to the Endowment fund by the family members of the distinguished mathematician late Prof. Harish-Chandra and family member and colleagues of late Dr. Zita Lobo, a member of the Department of Biological sciences at TIFR. Prof.Harish-Chandra had worked with Dr. Homi Bhabha

15. Abstract: The Irreducibility Of Standard Modules The irreducibility of standard modules for weakened harishchandrasheaves. Author Robert Shalla Abstract In this thesis we study http://www.panix.com/~shalla/rds01.html

The irreducibility of standard modules for weakened Harish-Chandra sheaves Author: Robert Shalla Abstract: In this thesis we study a representation theory for semisimple Lie groups which have infinite center and provide a geometric description of the irreducible representations of any such group, G. Our perspective is motivated by the localization theory of A. Beilinson and J. Bernstein [1]; they show that an irreducible representation of G can equivalently be regarded as an algebraic D-module, where D is a twisted sheaf of differential operators on a certain smooth projective variety. A description of irreducible representations of G is thus achieved by constructing "standard" D-modules which have finite length and whose composition factors exhaust the irreducible D-modules. These standard modules are also endowed with the action of a reductive algebraic group K and were the center of G finite, they would commonly be known as standard Harish-Chandra sheaves. However, in this thesis the usual compatibility condition on the D-module action and K-action for Harish-Chandra sheaves is weakened slightly to accommodate the possibility that the center of G is infinite. Our principal result gives a simple criterion for irreducibility of a given standard module. As an application, the program is carried out for the case in which G is the universal covering group of SU(n,1). The special case of the universal covering group of SL(2,R) is also discussed in more detail in the expository paper

16. 1+1=2, The Hopf Link, And The Harish-Chandra-Duflo Isomorphism. Thursday, 12 November, 1998 at 14.15 in Koll. G. D. BarNatan (Hebrew). 1+1=2,The Hopf Link, and the harish-chandra-Duflo isomorphism. Abstract/ http://www.imf.au.dk/events/calendar/events/1539.html

MaPhySto Centre for Mathematical Physics and Stochastics Department of Mathematical Sciences, University of Aarhus Funded by The Danish National Research Foundation SEMINAR Thursday, 12 November, 1998 at 14.15 in Koll. G D. Bar-Natan (Hebrew) 1+1=2, The Hopf Link, and the Harish-Chandra-Duflo isomorphism. Abstract/Description: One of the earliest demonstrations of the identity 1+1=2 was using the Chinese soroban (abacus). The proof is topological in nature: the number 1 is represented by a rod with a bead on it. The sum 1+1 would be taking two such rods and connecting them end to end, and the result is clearly topologically equivalent to the number 2, represented by a single rod with a double bead on it. In modern language, a ``rod with a bead'' is nothing but the Hopf link, with one of the components cut open, and the identity 1+1=2 becomes ``the connected sum of two cut Hopf Links is equal to a single cut Hopf Link, with its uncut component doubled''. We apply the Stonehenge machinery to this identity, and get that two big sums of diagrams are equal (modulo some necessary relations). When a Lie algebra is given and these diagrams are interpreted as tensors in certain spaces associated with the Lie algebra, this equality becomes an easy proof of the multiplicativity property of the non-obvious Harish-Chandra-Duflo isomorphism. The diagram equality we prove and use is the ``Wheeling Conjecture'' of Garoufalidis, Rozansky, D. Thurston and myself, first discovered in Aarhus some three years ago, and, independently, of Deligne. The 1+1=2 proof is due to D. Thurston and myself (Jerusalem, September 1998).

17. Duality Of Harish-Chandra Modules Contact person Henning Haahr Andersen/Niels Lauritzen....... D2. ICAG2000 Masaki Kashiwara, RIMS. Duality of harishchandra modules. Abstract/ http://www.imf.au.dk/events/calendar/events/2011.html

Department of Mathematics University of Aarhus Ny Munkegade * 8000 Aarhus C * Denmark WORKSHOP Saturday, 10 June, 2000 at 14:15 in Aud. D2 ICAG2000: Masaki Kashiwara, RIMS Duality of Harish-Chandra modules Abstract/Description: Contact person: Henning Haahr Andersen/Niels Lauritzen Announced by Niels Lauritzen on June 08, 2000 at 13:41:21 and can only be removed by this person.

18. 18.757 Page Cartan and Iwasawa decompositions; parabolic subgroups); representations of noncompactgroups (parabolic induction, harishchandra modules, representations of http://www-math.mit.edu/~ostrik/reps.html

18.757 page: Representations of Lie groups Time and place: MW 3-4^30; room 2-255. My office hours: MW 2-3. Prerequisites: Basics of Lie theory; representations of finite groups; functional analysis (acquaintance with Hilbert space, operators (compact, Hilbert-Schmidt, of trace class), spectral theorem, distributions). Textbooks: A.W.Knapp, "Representations of semisimple Lie groups" and V.S.Varadarajan, "Introduction to harmonic analysis on semisimple groups". There will be few problem sets and no exam. Tentative syllabus: Compact groups (Peter-Weyl theorem; classification of representations in terms of highest weight; Weyl's character formula, etc); structure theory for noncompact groups (Cartan and Iwasawa decompositions; parabolic subgroups); representations of noncompact groups (parabolic induction, Harish-Chandra modules, representations of SL_2(R) and SL_2(C)). Introduction to Plancherel formula. Lecture 1: Poisson summation formula and applications: modular property of theta function; analytic continuation and functional equation for Riemann's zeta function. Fourier series and Fouries integral as decomposition of the regular representation of Lie groups S^1 and R. Lecture 2: Schur's Lemma for unitary representations; Haahr measure; compact groups and Schur's orthogonality relations.

19. Matches For: The Mathematical Legacy of harishchandra A Celebration of Representation Theoryand Harmonic Analysis Edited by Robert S. Doran, Texas Christian University http://www.ams.org/bookstore-getitem/item=PSPUM-68

Quick Search Advanced Search Browse by Subject General Interest Number Theory Analysis Differential Equations Probability Applications Mathematical Physics The Mathematical Legacy of Harish-Chandra: A Celebration of Representation Theory and Harmonic Analysis Edited by: Robert S. Doran Texas Christian University, Fort Worth, TX , and V. S. Varadarajan University of California, Los Angeles, CA Description Harish-Chandra was a mathematician of great power, vision, and remarkable ingenuity. His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today. This book presents the proceedings of an AMS Special Session entitled, "Representation Theory and Noncommutative Harmonic Analysis: A Special Session Honoring the Memory of Harish-Chandra", which marked 75 years since his birth and 15 years since his untimely death at age 60. Contributions to the volume were written by an outstanding group of internationally known mathematicians. Included are expository and historical surveys and original research papers. The book also includes talks given at the IAS Memorial Service in 1983 by colleagues who knew Harish-Chandra well. Also reprinted are two articles entitled, "Some Recollections of Harish-Chandra", by A. Borel, and "Harish-Chandra's c-Function: A Mathematical Jewel", by S. Helgason. In addition, an expository paper, "An Elementary Introduction to Harish-Chandra's Work", gives an overview of some of his most basic mathematical ideas with references for further study.

20. Twisted Harish-Chandra Sheaves And Whittaker Modules: The Non-Degenerate Case - Twisted harishchandra Sheaves And Whittaker Modules The Non-Degenerate Case(1995) (Make Corrections) (1 citation) Dragan Milicic, Wolfgang Soergel Home http://citeseer.nj.nec.com/milicic95twisted.html

Twisted Harish-Chandra Sheaves And Whittaker Modules: The Non-Degenerate Case (1995) (Make Corrections) (1 citation) Dragan Milicic, Wolfgang Soergel Home/Search Context Related View or download: sun2.mathematik.unifrei whittaker.ps sunpool.mathematik.unif whittaker.ps Cached: PS.gz PS PDF DjVu ... Help From: web.mathematik.unifreib (more) (Enter author homepages) Rate this article: (best) Comment on this article (Enter summary) Abstract: . In this paper we develop a geometric approach to the study of the category of Whittaker modules. As an application, we reprove a well-known result of B. Kostant on the structure of the category of non-degenerate Whittaker modules. 0. Introduction. Let g be a complex semisimple Lie algebra, U(g) its enveloping algebra and Z(g) the center of U(g). Let b be a fixed Borel subalgebra of g and n = [b; b] its nilpotent radical. A Whittaker module is a finitely generated U(g)-module which is also... (Update) Context of citations to this paper: More The generalized Verma modules induced from Whittaker modules were studied by McDowell in [Mc1, Mc2] by Milicic and Soergel in and by Backelin in [Ba] For these special cases of simple modules the structure of the corresponding GVMs is now relatively well Cited by: More Structure of Modules Induced From Simple Modules With.. - Khomenko, Mazorchuk

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