Wed, October 17, 2018
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October 2018
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2:00pm [2:30pm] Somnath Jha
Speaker: Somnath Jha Title: A duality for Selmer groups Time: 14:30 - 15:30, Wednesday, October 17, 2018. Venue: Ramanujan Hall, Department of Mathematics Abstract: Selmer group is an important object of study in number theory. We will discuss a twisting result in the setting of so called "non-commutative" Iwasawa theory. We will further use this to deduce a duality result for certain Selmer groups. (This talk is based on joint works with T. Ochiai, G. Zabradi and S. Shekhar.

4:00pm [4:00pm] Department Colloquium
Department Colloquium. Speaker: Harsha Hutridurga. Time: 4pm, Wednesday, October 17, 2018. Venue: Ramanujan Hall. Title: An overview of the theory of Hypocoercivity. Abstract: In this talk, we attempt to give a brief introduction to the theory of Hypocoercivity which has become an indispensable tool in the study of relaxation to equilibrium states for mathematical models arising in statistical physics. The essential ideas behind this theory will be motivated via simple examples. The role of certain functional inequalities while deriving explicit rates of convergence will be made precise during this talk. This talk concludes by addressing a certain degenerate kinetic Fokker-Planck equation. Incidentally, the study of the trend to equilibrium for this degenerate model finds link to the acclaimed Geometric Condition from the theory of control for wave propagation.