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Algebraic Geometry Seminar
Date
Tuesday, 19 March, 11.30 am
Venue
Room 215
Host
Sudarshan Gurjar
speaker
Nitin Nitsure
Affiliation
Bhaskaracharya Pratishthana
Title
Effective Galois descent for Schemes and Algebraic Space.
Abstract
We will translate faithfully flat descent and effective descent into Galois theoretic terms, and give examples. Then we will consider the problem of effective Galois descent for the fibered categories of schemes and algebraic spaces. While effective Galois (and etale) descent holds for algebraic spaces, we will give an elementary example showing it does not hold for the subcategory of algebraic spaces formed by schemes. This is one of the advantages of generalizing from schemes to algebraic spaces.
Algebraic Groups Seminar
Tuesday, March 19, 2024, 4 pm
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Venue: Ramanujan Hall
Host: Shripad M. Garge
Speaker: Akash Yadav
Affiliation: IIT Bombay, Mumbai
Title: Parabolic subgroups I
Abstract: We introduce the notion of parabolic subgroups in linear algebraic groups.
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Commutative Algebra and Algebraic Geometry Seminar |
Date |
Tuesday, 19 March 2024, 4-5 pm |
Venue |
Room 215 |
Host |
Tony J. Puthenpurakal |
speaker |
R. V. Gurjar |
Affiliation |
IIT Bombay |
Title |
Some more results about Brieskorn-Pham singularities |
Abstract |
We will discuss the following results. (1) Classification of 3-dimensional factorial B-P singularities by U.Storch. (2) Classification of affine B-P 3-folds which admit a non-trivial action of the additive group G_a (equivalently, a non-zero locally nilpotent derivation on their coordinate ring) by M. Chitayat. (3) Classification of affine B-P 3-folds which are rational (i.e. their function field is a purely transcendental extension of the ground field) by M Chitayat. |