Mon, September 23, 2019
Public Access


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3:00pm [3:30pm] R V Gurjar
Description:
Commutative Algebra seminar. Speaker: R V Gurjar. Affiliation: IIT Bombay. Date and Time: Monday 23 September, 3:30 pm - 5:00 pm. Venue: Room 215, Department of Mathematics. Title: Paul Robert's Theorem. Abstract: Let a finite abelian group G act on a normal local domain R with residue field of R of char. 0. Assume that R^G is a UFD. Then R is a free R^G- module. In particular, if R^G is regular then R is Cohen Macaulay. We will start preparation for P. Samuel's descent theory.


[4:00pm] Agnid Banerjee:TIFR-CAM, Bangalore
Description:
Mathematics Colloquium Talk I. Speaker: Agnid Banerjee. Affiliation: TIFR-CAM, Bangalore. Date and Time: Monday 23 September, 4:00 pm - 5:00 pm. Venue: Ramanujan Hall, Department of Mathematics. Title: The structure of the regular and the singular set of the free boundary in the obstacle problem for fractional heat equation. Abstract: In this talk, I will discuss the structure of the free boundary in the obstacle problem for fractional powers of the heat operator. Our results are derived from the study of a lower dimensional obstacle problem for a class of local, but degenerate, parabolic equations. The analysis will be based on new Almgren, Weiss and Monneau type monotonicity formulas and the associated blow-up analysis. This is a joint work with D. Danielli, N. Garofalo and A. Petrosyan.

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