Algebraic Groups Seminar

Tuesday, 31 October 2023, 4 pm
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Venue: Ramanujan Hall

Host: Shripad Garge

Speaker: Chayan Karmakar

Affiliation: IIT Bombay

Title: Lie algebras - II

Abstract: We introduce the notion of Lie algebra of a linear algebraic group. 

Commutative algebra seminar

Tuesday, 31 October, 4.00-5.00 pm

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Venue: Room 215

Host: J. K. Verma

Speaker: Kriti Goel

Affiliation: Basque Center for Applied Mathematics, Bilbao (Spain)

Title: Local cohomology of modular invariant rings

Abstract: Consider a finite group G acting on a polynomial ring R over a field. One of the fundamental problems of invariant theory is to establish a connection between the properties of the invariant ring R^G and the properties of the group action. While the situation is better understood when the order |G| of the group is a unit, much less is known otherwise. In this talk, we will explore some questions on the local cohomology modules of the ring of invariants in the situation where |G| is not a unit.  This is a joint work with Jack Jeffries (UNL) and Anurag Singh (University of Utah).