【学术报告】Elementwise sub-representations of groups, and their automorphic analogue.

• 主讲人：Dipendra Prasad, Prof.
• 时间：Oct. 21, 2021 (21:00-22:00 Beijing time, 16:00-17:00 St Petersburg time)
• 地点：online

Abstract:  Suppose V and W are two finite-dimensional representations of a group G such that for each element g of G, the eigenvalues of g (counted with multiplicity) on V are contained in the eigenvalues of g on W. What can we say about V and W? Such a question appears naturally in Automorphic representations which we will briefly discuss, but then focus on the abstract question on group representations.

Bio: Professor Dipendra Prasad works at the Indian Institute of Technology Bombay (Mumbai, India) having the second position at Saint - Petersburg State University where he heads the Laboratory "Modern Algebra and Applications" at the Department of Mathematics and Computer Science. He obtained his bachelor’s degree from the St. Xavier College, Mumbai in 1978 before moving to the Indian Institute of Technology Kanpur which he completed in 1980. From 1980 to 1985, Prasad worked as a research scholar at the Tata Institute of Fundamental Research, Mumbai (TIFR Mumbai). He then completed his PhD under the supervision of Benedict Gross at Harvard, in 1989.

    Prof. Prasad is a worldwide known expert in Number Theory, Group Theory and Representation Theory (mainly, on Automorphic Representations and the Gan-Gross-Prasad conjecture).  

    He has received many prestigious awards on national and international levels. In 2018, he was an Invited Speaker at the International Congress of Mathematics in Rio de Janeiro.