Reading Seminar
Thursday, 17 February · 2:30 – 3:45 pm
Google Meet joining info
Video call link: https://meet.google.com/auv-mwkn-ixh
The speaker is Sarjick Bakshi. He will give the 3rd talk on the
following topics.
Title: Modular representations of Algebraic groups,
Abstract:
We will discuss a few important and classical theorems in the
representation theory of reductive algebraic groups like the
Borel-Weil-Bott theorem, Kempf's vanishing theorem. The main reference
would be Jantzen's book ``Representation theory of Algebraic Groups'' and a
note by Andersen ``Modular representation of Algebraic groups and Relations
to Quantum groups''.
Speaker: Bruno Premoselli (Université Libre de Bruxelles, Belgium)
Time: February 17, Thursday, 4 pm (Indian Standard Time)
Title: A priori estimates for sign-changing solutions of critical elliptic
equations of Schrodinger-Yamabe type
Abstract: In this talk we consider sign-changing solutions of critical
Yamabe-Schrodinger type equations of second order. Unlike their positive
counterpart these solutions have no direct physical or geometrical
meaning, but have been shown to arise in geometrical contexts. They appear
for instance as extremals for higher eigenvalues minimisation problems in
a given conformal class. We describe in this talk the structure of
bubbling sign changing solutions for these equations and provide a
detailed asymptotic description, in strong spaces, of the blow-up. As a
consequence we prove some precompactness results for the set of
energy-bounded solutions of these equations. Some of these results have
been obtained in collaboration with J. Vétois (McGill University).
Google Meet joining info:
Video call link: https://meet.google.com/ptb-uyyu-zas
Or dial: (US) +1 484-841-8292 PIN: 147 605 745#
Time:
5:30pm
Description:
Speaker: Liran Shaul, Charles University, Prague.
Date/Time: 18 February 2022, 5:30pm IST/ 12:00pm GMT / 7:00am ET (joining
time 5:15pm IST).
Gmeet link: meet.google.com/osq-afmn-san
Title: Special classes of rings in derived commutative algebra.
Abstract: The classes of regular, Gorenstein and Cohen-Macaulay rings are
among the most important classes of rings in commutative algebra and
algebraic geometry. In this talk we recall the definitions and basic
properties of these classes, and then explain how to generalize each of
them to derived commutative algebra, in the context of commutative
differential graded algebras. We further explain how each of these
generalizations arise naturallyin various algebraic geometry contexts and
discuss some applications.
For more information and links to previous seminars, visit the website of
VCAS: https://sites.google.com/view/virtual-comm-algebra-seminar