International Conference on FudamDeiscnrettea Glr odupos,m Geoamientrys a nfdo Arrit hlmaettictices in (RA v-ir)turala envenkt i n1 ho snoeurm of Mis. Si.m Ragphulneat hLan'ise 80 tgh briorthudapy s August 9 - 11, 2021 By H. GARLAND and M. S. RAGHUNATHAN* Jointly organised by

National Centre for Mathematics, India (A joint centre of IIT Bombay and TIFR, ) Tata Institute of Fundamental Research, Mumbai UM-DAE Centre for Excellence in Basic Sciences, Mumbai

Discrete Groups, Geometry and Arithmetic Study of discrete groups, especially discrete subgroups of Lie groups and more important breakthroughs in the broader areas of geometry, arithmetic, dynamics, generally algebraic groups, such as the arithmetic groups, has played a very and a variety allied areas. Professor Raghunathan has been one of the major players important role in our understanding of various issues in Geometry and Arithmetic, in the course of this development. namely properties of shapes and numbers, in their fully mature abstract setting. Their group theoretic structure, their specific role as subgroups of the ambient The theme of the conference will be to review the progress in the recent years, in this groups, properties of their actions on a variety of spaces with topological or other respect in various directions, as well as on pivotal points and issues related to them in kinds of structures, dynamics of actions on the homogeneous spaces associated with the broader areas of geometry, Lie groups, algebraic groups, number theory and them, to name a few directions, have all attracted a great deal of attention, over the especially the Diophantine problems, dynamics on homogeneous spaces, ergodic last century and especially in the recent decades. The results in turn have led to theory etc.

Speakers: Shahar Mozes (Hebrew University, Jerusalem, Israel) Emmanuel Breuillard (University of Cambridge, UK) Hee Oh (Yale University, New Haven, CT, USA) Kai-Uwe Bux (University of Bielefeld, Germany) Pedro Ontaneda (Binghamton University, New York, USA) V. Chernousov (University of Alberta, Edmonton, Alberta, Canada) Raman Parimala (, Atlanta, GA, USA) J.-L. Colliot-Thelene (Université Paris-Saclay, Orsay, France) M. M. Radhika (Tata Institute of Fundamental Research, Mumbai) David Fisher (Indiana University, Bloomington, Indiana, USA) Igor Rapinchuk (Michigan State University, East Lansing, MI, USA) T. Gelander (Weizmann Institute of Science, Rehovot, Israel) Nimish Shah (Ohio State University, Columbus, Ohio, USA) Bill Goldman (University of Maryland, College Park, MD, USA) F Pavel Zalesski (Universidade de Brasília, Brazil) O e Amir Mohammadi (University of California, San Diego, CA, USA) Umberto Zannier (Scuola Normale Superiore, Pisa, Italy) s a S 4 n ic 9 P o t 9 i a 1 U t ag n m rl O e e e R v -V Organising Committee Scientific Committee: h er n t g a, G I n b a ri la B p o S. G. Dani (CEBS, Mumbai) [Convener] S. G. Dani (CEBS, Mumbai) [Convener] m S C U n , c ad S O io o Anish Ghosh (TIFR, Mumbai) Alex Lubotzky (Hebrew University, Jerusalem, Israel) t R E c a se ab T l bh Sudhir Ghorpade (IIT BombayE , Mumbai) Gregory Margulis (Yale University, New Haven, CT) a i n om R S o H Neela Nataraj (IIT Bombay, Mumbai) Raman Parimala (Emory University, Atlanta, GA) i , C P ) t ch 94 a r S U 9 r ea I n 1 s Sandip Singhm (IIT Bombay, Mumbai) C. S. Rajan (TIFR, Mumbai) ( a e i 3 R D O 2 l 4 g ta R 9- n n B. Sury (ISI,F Bengaluru) s Andrei Rapinchuk (University of Virginia,0 Charlottesville, VtiA) e 4 t m O G 6, i a e 1 nd Jugal Verma (IIT Bombay, Mumbai) 1 m u H T. N. Venkataramana (TIFR,. Mumbai) F E c th d f I N i a a o Y e A t . M s t L N t e tu G H t n l ti ve d s O E T A n n In A Technicala Committee I n a L l H u a at L N b T Jugal K. VermaO (IIT Bombay, Mumbai) [Convener] s T Rahul Singh Karki (IIT Bombay ,t hMumbai), P U l a cs A a ti H d p n a ia M ip u d Soumya Dey (IMSc, )M [Co-convener]G N Chayan Karmakare (IIT Bombayc h , eMumbai)m n O I n u g h , I A U s a n a t 5 H S n c 4 i R a 0 Kriti Goel (IIT Gandhinagar) [Co-convener]R a o Dibyendui 9 Mondal (IITr Bombay. M , 0Mumbai) - H 9 0 . o t 1 P S of 0 O I r i a . l 4 S G t g o DibyenduC Biswas (IIT Bombay, Mumbai). s nArghyala Pramanik (IIT MBombayo ay , Mumbai) M g A m er h b e e V c m T M p v - S o Saipriya DubeyE (IIT Bombay, Mumbai) R Shashankh e rVikram Singh (IIT Bombay, Mumbai) S n t g a, B S Y u e . I a n b R ri la I B l S p o o m S C . , F p c d r a O o E M R Prof. M.S. Raghunathan g I a H m I ab D , h Professor TMadabusi Santanam Raghunathan was born bon 11 Publicationsi of IHES, and Inventiones Mathematicae, which have ib N mProf. Raghunathanm served on many important international u s le o AugustN 1941 in Anantapur, Andhra Pradesh. After completing - been path-breaking.A He is renowned for his contributions on manyb committees,, H which include the Executive Committee of the s ch O i o r B.A. (Hons) from the Vivekananda College, Madras (Chennai) in themes,D and in particular for his work) on the ``Congruencer a 6 Ineternational Mathematical Union (IMU), the Abel Prize 8 p es A 19 R 1960 he joined the Tata Institute of Fundamental Research mas a subgroup problem''. His book ``Discrete ( subgroups of Lie groups''p l Committee, and the Fields Medal Committee. He has played a very n S 7 u ta 1 o n Research Assistant. After an illustrious career at TIFRe that has been one of the crucial reference-1 works in the area. One of his e a A 3 r m important role in the promotion of mathematics in India through 7 g a t s R , d culminated in the position as Professor of Eminence during 1997- conjectures, the Raghunathan conjecture,5 has been very binfluentialn 8 u the National Board for Higher Mathematics, which he Chaired r . u F P h s f 2006, he served as DAE Homi Bhabha Professor at TIFR (2006- in the area of homogeneousat dynamics and applicationse o to a e during 1987 -- 2006, and organization of major events like the L m c t . u 11) and as Distinguished Guest Professor at IIT Bombay (2011-17) Diophantine approximation.nt n it A e e st International Mathematical Olympiad (1996) and the International C v u n during which he also headed the National Centre for Mathematics.P In I r n a Congress of Mathematicians (2010) in India. He steered the O His achievements were recognized throughg severala at honours, He is currently affiliated to the UM-DAE Centre for Excellence in n th , T including the following: the S.S. Bhatnagaro a cPrizes (1977), institutional infrastructure of many national institutions through G c ti Basic Sciences as Distinguished Professor. n a ia Medal of INSA (1991),e u Mathematicsm d Prize his stewardship of their Governing bodies. He also served on the Y h h e In t g th , He has to his credit numerous publications, including many in of TWAS - the Academy of the Developinga Worlda (1991),5 Election Scientific Advisory Committee to the Cabinet (Government of B n R M 00 O . f 0 highly reputed journals like the Annals of Mathematics, as Fellow of the Royal Society, London.S (2000), o 40 and the National India) during 2012 -- 2018. ol M o ay awards of Padma Shri (2001) and Padmac hBhushanb (2012). S om B