


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, 4.005.00 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).