Thu, February 17, 2022
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February 2022
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2:00pm [2:30pm] Sarjick Bakshi: IIT Bombay
Reading Seminar Thursday, 17 February · 2:30 – 3:45 pm Google Meet joining info Video call link: 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''.

4:00pm [4:00pm] Bruno Premoselli (Université Libre de Bruxelles, Belgium)
Geometric Analysis seminar series. 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: Or dial: ‪(US) +1 484-841-8292‬ PIN: ‪147 605 745‬#