Annual Report 2017-18 (English Version)
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Debashish Goswami Jyotishman Bhowmick Quantum Isometry Groups Infosys Science Foundation Series
Infosys Science Foundation Series in Mathematical Sciences Debashish Goswami Jyotishman Bhowmick Quantum Isometry Groups Infosys Science Foundation Series Infosys Science Foundation Series in Mathematical Sciences Series editors Gopal Prasad, University of Michigan, USA Irene Fonseca, Mellon College of Science, USA Editorial Board Chandrasekhar Khare, University of California, USA Mahan Mj, Tata Institute of Fundamental Research, Mumbai, India Manindra Agrawal, Indian Institute of Technology Kanpur, India S.R.S. Varadhan, Courant Institute of Mathematical Sciences, USA Weinan E, Princeton University, USA The Infosys Science Foundation Series in Mathematical Sciences is a sub-series of The Infosys Science Foundation Series. This sub-series focuses on high quality content in the domain of mathematical sciences and various disciplines of mathematics, statistics, bio-mathematics, financial mathematics, applied mathematics, operations research, applies statistics and computer science. All content published in the sub-series are written, edited, or vetted by the laureates or jury members of the Infosys Prize. With the Series, Springer and the Infosys Science Foundation hope to provide readers with monographs, handbooks, professional books and textbooks of the highest academic quality on current topics in relevant disciplines. Literature in this sub-series will appeal to a wide audience of researchers, students, educators, and professionals across mathematics, applied mathematics, statistics and computer science disciplines. More information -
Iam Delighted to Present the Annual Report Of
From the Director’s Desk am delighted to present the Annual Report of the &Communications were planned. One may recall that Indian Statistical Institute for the year 2018-19. This on June 29, 2017, the then Hon’ble President of India, I Institute that started its journey in December 1931 in Shri Pranab Mukherjee, had inaugurated the 125th Birth Kolkata has today grown into a unique institution of higher Anniversary Celebrations of Mahalanobis. learning spread over several cities of India. The Institute, founded by the visionary PC Mahalanobis, continues It is always a delight to inform that once again the its glorious tradition of disseminating knowledge in Institute faculty members have been recognized both Statistics, Mathematics, Computer Science, Quantitative nationally and internationally with a large number of Economics and related subjects. The year 2018-19 saw honors and awards. I mention some of these here. In the formation of the new Council of the Institute. I am 2018, Arunava Sen was conferred the TWAS-Siwei Cheng delighted to welcome Shri Bibek Debroy as the President Prize in Economics and Sanghamitra Bandyopadhyay of the Institute. It is also a privilege that Professor was conferred the TWAS Prize Engineering Sciences in Goverdhan Mehta continues to guide the Institute as the Trieste, Italy. Arup Bose was selected as J.C. Bose Fellow Chairman of the Council. for 2019-2023 after having completed one term of this fellowship from 2014 to 2018. Nikhil Ranjan Pal was The Institute conducted its 53rd Convocation in January appointed President, IEEE Computational Intelligence 2019. The Institute was happy to have Lord Meghnad Society. -
Year 2010-11 Is Appended Below
PRESIDENT OF THE INSTITUTE, CHAIRMAN AND OTHER MEMBERS OF THE COUNCIL AS ON MARCH 31, 2011 President: Prof. M.G.K. Menon, FRS 1. Chairman: Shri Pranab Mukherjee, Hon’ble Finance Minister, Government of India. 2. Director: Prof. Bimal K. Roy. Representatives of Government of India 3. Dr. S.K. Das, DG, CSO, Government of India, Ministry of Statistics & Programme Implementation, New Delhi. 4. Dr. K.L. Prasad, Adviser, Government of India, Ministry of Finance, New Delhi. 5. Dr. Rajiv Sharma, Scientist ‘G’ & Adviser, (International Cooperation), Department of Science & Technology, Government of India, New Delhi. 6. Shri Deepak K. Mohanty, Executive Director, Reserve Bank of India, Mumbai. 7. Shri Anant Kumar Singh, Joint Secretary (HE), Government of India, Ministry of Human Resource Development, Department of Higher Education. Representative of ICSSR 8. Dr. Ranjit Sinha, Member Secretary, Indian Council of Social Science Research, New Delhi. Representatives of INSA 9. Prof. V.D. Sharma, FNA, Department of Mathematics, Indian Institute of Technology, Mumbai. 10. Prof. B.L.S. Prakasa Rao, FNA, Dr. Homi J Bhabha Chair Professor, Department of Mathematics and Statistics, University of Hyderabad, Hyderabad. 11. Prof. T.P. Singh, FNA, DBT Distinguished Biotechnologist, Department of Biophysics, All India Institute of Medical Sciences, New Delhi. 12. Prof. Somnath Dasgupta, FNA, Director, National Centre of Experimental Mineralogy & Petrology, University of Allahabad, Uttar Pradesh. Representative of the Planning Commission 13. Shri B.D. Virdi, Adviser, Perspective Planning Division of Planning Commission, New Delhi. Representative of the University Grants Commission 14. Prof. S. Mahendra Dev, Director, Indira Gandhi Institute of Development Research, Mumbai. Scientists co-opted by the Council 15. -
Report on Academic Activities
THE INSTITUTE OF MATHEMATICAL SCIENCES C. I. T. Campus, Taramani, Chennai - 600 113. REPORT ON ACADEMIC ACTIVITIES FOR THE YEAR 2006 - 2007 Telegram: MATSCIENCE Fax: +91-44-2254 1586 Telephone: +91-44-2254 1856, +91-44-2254 3100 website: http://www.imsc.res.in/ Foreword I am pleased to present the progress made by the Institute during 2006-2007 in its many sub disciplines and note the distinctive achievements of the members of the Institute. A perusal of the list of publications of the members of the Institute shows that this year has been an academically productive year. The Institute hosted an international conference and five workshops this year. These include the Indo UK Conference on Number Theory, ISEA Course on Security, Meeting on Modeling Infectious Diseases, ATM Workshop on Al- gebraic Topology, Annual Foundation School in Mathematics and the first K. S. Krishnan Discussion Meeting on Frontiers in Quantum Science. Further the Institute organized the Albert Einstein Annus Mirabilis Centennial Public Lectures, featuring talks by Nobel Laure- ates Professor Anthony Leggett and Professor Zhores I. Alferov, and the eminent theoretical physicist, Professor E. C. George Sudarshan. I am also happy to note that the faculty members of the Institute have served as members in the sectional committees of the academies, in award committees and in the board of studies in Mathematics and Physics of HBNI. The Subashis Nag Memorial lecture is an annual event where a course of lectures are given by an eminent personality on a subject related to the work of (Late) Professor Subashis Nag. This year the lectures were delivered by Professor M.S. -
Annual Report 2016-17 of the Indian Statistical Institute
PRESIDENT OF THE INSTITUTE, CHAIRMAN AND OTHER MEMBERS OF THE COUNCIL AS ON MARCH 31, 2017 President: Dr. Vijay Kelkar, Padma Vibhushan 1. Chairman: Prof. Goverdhan Mehta, FNA, FRS, Dr. Kallam Anji Reddy Chair School of Chemistry, University of Hyderabad, Central University, Gachibowli, Hyderabad - 500 046, Telangana. 2. Director: Prof. Sanghamitra Bandyopadhyay. Representatives of the Government of India 3. Shri S.K. Singh, Additional Secretary and Financial Advisor, Govt. of India, Ministry of Statistics and Programme Implementation, New Delhi. 4. Dr. G.C. Manna, DG, CSO, Govt. of India, Ministry of Statistics & P.I., New Delhi. 5. Shri Pramod Kumar Das, Additional Secretary, Govt. of India, Ministry of Finance, Department of Expenditure, New Delhi. 6. Dr. Praveer Asthana, Adviser/Scientist-G, Head (AI and Mega Science Divisions), Govt. of India, Ministry of Science and Technology, New Delhi. 7. Dr. M.D. Patra, Executive Director, Reserve Bank of India, Mumbai. 8. Shri R. Subrahmanyam, Additional Secretary (T), Govt. of India, Ministry of Human Resource Development, New Delhi. Representative of the ICSSR 9. Dr. V.K. Malhotra, Member-Secretary, Indian Council of Social Science Research, New Delhi. Representatives of the INSA 10. Dr. Manindra Agrawal, Indian Institute of Technology, Kanpur. 11. Prof. B.L.S. Prakasa Rao, Ph. D, FNA, FASc, FNASc., FAPAS, Former Director ISI, Ramanujan Chair Prof., CR Rao Advance Institute of Mathematics, Statistics and Computer Science, Hyderabad. 12. Dr. Baldev Raj, President, PSG Institutions, Tamil Nadu. 13. Prof. Yadati Narahari, Department of Computer Science and Automation, Indian Institute of Science, Bangalore. Representative of the NITI Aayog/ Planning Commission 14. -
Year 2011-12 Involve Exploring the Relation Between the Euler Class Group of a Ring and That of Its Polynomial Extension
PRESIDENT OF THE INSTITUTE, CHAIRMAN AND OTHER MEMBERS OF THE COUNCIL AS ON MARCH 31, 2012 President: Prof. M.G.K. Menon, FRS 1. Chairman: Shri Pranab Mukherjee, Hon’ble Finance Minister, Government of India. 2. Director: Prof. Bimal K. Roy. Representatives of Government of India 3. Shri S.K. Das, DG, CSO, Govt. of India, Ministry of Statistics & Programme Implementation, New Delhi. 4. Dr. K.L. Prasad, Adviser, Govt. of India, Ministry of Finance, New Delhi. 5. Dr. Rajiv Sharma, Scientist ‘G’ & Adviser, (International Cooperation), Department of Science & Technology, Govt. of India, New Delhi. 6. Shri Deepak K. Mohanty, Executive Director, Reserve Bank of India, Mumbai. 7. Shri Anant Kumar Singh, Joint Secretary (HE), Government of India, Ministry of Human Resource Development, Department of Higher Education, New Delhi. Representative of ICSSR 8. Dr. Ranjit Sinha, Member Secretary, Indian Council of Social Science Research, New Delhi. Representatives of INSA 9. Prof. V.D. Sharma, FNA, Department of Mathematics, Indian Institute of Technology, Mumbai. 10. Prof. B.L.S. Prakasa Rao, FNA, Dr. Homi J Bhabha Chair Professor, Department of Mathematics and Statistics, University of Hyderabad, Hyderabad. 11. Prof. T.P. Singh, FNA, DBT Distinguished Biotechnologist, Department of Biophysics, All India Institute of Medical Sciences, New Delhi. 12. Prof. Somnath Dasgupta, FNA, Department of Earth Sciences, Indian Institute of Science Education & Research, West Bengal. Representative of the Planning Commission 13. Shri B.D. Virdi, Adviser, Perspective Planning Division of Planning Commission, New Delhi. Representative of the University Grants Commission 14. Prof. S. Mahendra Dev, Director, Indira Gandhi Institute of Development Research, Mumbai. -
Arxiv:2007.14821V2 [Math.PR] 3 Aug 2020 5.4
GROUP MEASURE SPACE CONSTRUCTION, ERGODICITY AND W ∗-RIGIDITY FOR STABLE RANDOM FIELDS PARTHANIL ROY Dedicated to the memory of Professor Jayanta Kumar Ghosh ABSTRACT. This work discovers a new link between probability theory (of stable random fields) and von Neumann algebras. It is established that the group measure space construction corresponding to a minimal representation is an invariant of a stationary symmetric a-stable (SaS) random field d indexed by any countable group G. When G = Z , we characterize ergodicity (and also absolute non- ergodicity) of stationary SaS fields in terms of the central decomposition of this crossed product von Neumann algebra coming from any (not necessarily minimal) Rosinski´ representation. This shows that ergodicity (or the complete absence of it) is a W ∗-rigid property (in a suitable sense) for this class of fields. All our results have analogues for stationary max-stable random fields as well. CONTENTS 1. Introduction2 2. Ergodic Theory of Nonsingular Actions5 2.1. Ergodic and Neveu Decompositions6 2.2. Conjugacy and Orbit Equivalence6 3. von Neumann Algebras7 3.1. Factors and Central Decomposition7 3.2. Group Measure Space Construction8 3.3. W ∗-rigidity 10 4. Stationary SaS Random Fields 11 4.1. Integral Representation 11 4.2. Minimal Representation 12 4.3. The Stationary Case: Rosinski´ Representation 12 5. Linking Stable Fields with von Neumann Algebras 13 5.1. Minimal Representations, Conjugacy and the Crossed Product Invariant 13 5.2. Weak Mixing, Ergodicity and Complete Non-ergodicity 15 ∗ ∗ 5.3. Wm- and WR -rigidities 20 arXiv:2007.14821v2 [math.PR] 3 Aug 2020 5.4. -
List of Faculty Staff As on 1St November 2020
List of Faculty staff as on 1st November 2020 Srl. Roll Name Designation Section Centre Academic Remarks No. Level 1 9160 Sm. Sanghamitra Director M.I.U. BARANAGORE 17 IISc 2 8896 DiptiBandyopadhyay Prasad Mukherjee Deputy Director E.C.S.U. BARANAGORE 15 IISc 3 8613 Arunava Sen Professor (HAG) Economics & Planning Unit DELHI 15 IISc 4 8928 Palash Sarkar Professor (HAG) Appl. S.U. BARANAGORE 15 IISc 5 8620 Debasis Sengupta Professor (HAG) Appl. S.U. BARANAGORE 15 IISc 6 8703 Bhabatosh Chanda Professor (HAG) E.C.S.U. BARANAGORE 15 IISc 7 8351 Bimal Kr. Roy Professor (HAG) Appl. S.U. BARANAGORE 15 IISc 8 8619 Rahul Roy Professor (HAG) Stat-Math DELHI 15 IISc 9 8636 Arup Bose Professor (HAG) Stat-Math BARANAGORE 15 IISc 10 8979 B.V. Rajarama Bhat Professor (HAG) Stat-Math BANGALORE 15 IISc 11 8847 Sm. Mausumi Bose Professor (HAG) Appl. S.U. BARANAGORE 15 IISc 12 8633 Probal Chaudhuri Professor (HAG) Stat-Math BARANAGORE 15 IISc 13 8482 Nikhil Ranjan Pal Professor (HAG) E.C.S.U. BARANAGORE 15 IISc 14 8522 Anup Dewanji Professor (HAG) Appl. S.U. BARANAGORE 15 IISc 15 8967 Goutam Mukherjee Professor (HAG) Stat-Math BARANAGORE 15 IISc 16 8942 Ayanendranath Basu Professor (HAG) I.S.R.U. BARANAGORE 15 IISc 17 9114 Atanu Biswas Professor (HAG) Appl. S.U. BARANAGORE 15 IISc 18 8944 Abhay Gopal Bhatt Professor (HAG) Stat-Math DELHI 15 IISc 19 8998 Subhamoy Maitra Professor (HAG) Appl. S.U. BARANAGORE 15 IISc 20 9270 Prabal Roy Chowdhury Professor (HAG) Economics & Planning Unit DELHI 15 IISc 21 9164 Subir Ghosh Professor (HAG) P.A.M.U.