Description

Date: Friday, 18th November 2022 @4:35 pm

Venue: Ramanujan Hall

Speaker: T. N. Venkataramana, TIFR Mumbai

Title: Unipotent Generators for Higher Rank arithmetic Groups.

Abstract: Old results of Tits, Vaserstein, Raghunathan and myself say that the subgroup generated by elementary matrices, in any arithmetic higher rank group - namely the G(Z) of integer points of a simple algebraic group G defined over Q, is also arithmetic. The proofs rely on constructing a suitable completion of the group G(Q) of rational points and showing that this completion is a central extension of the (finite) adelic completion of G(Q). The other main ingredient of the proof relies on "Moore's uniqueness of reciprocity laws", which is used to deduce that

this extension is finite.

In this talk I describe a modification of the proof which shows that only the centrality is enough; the technically complicated second step may be avoided.

Description

Ramanujan Hall, Department of Mathematics

URL

Ramanujan Hall, Department of Mathematics

Date

Fri, November 18, 2022

Start Time

4:35pm IST

Priority

5-Medium

Access

Public

Created by

DEFAULT ADMINISTRATOR

Updated

Wed, November 16, 2022 10:07am IST