Tuesday, January 30, 2018
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January 2018
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11:00am [11:30am]RV Gurjar
Commutative algebra seminar 30 Jan 2018 11.30-1.00 Room 215 Speaker: RV Gurjar Title. A geometric proof of Minkowski inequality (Teissier's Conjecture), and related results. Abstract. Using resolution of singularity we will give a geometric proof of Teissier's Conjecture about the multiplicity of the product of two ideals. A stronger form of this proved in Jugal Verma's lecture will also be proved. We will also give a short proof of C.P.Ramanujam's geometric interpretation of the multiplicity of a local ring.

2:00pm [2:30pm]Vincent Sécherre, Université de Versailles Saint-Quentin
Number Theory Seminar Speaker: Vincent Sécherre, Université de Versailles Saint-Quentin Date & Time: Tuesday, January 30, 14:30-15:30. Venue: Ramanujan Hall Title: Supercuspidal representations of GL(n,K) distinguished by GL(n,F), with K/F a quadratic extension of p-adic fields. Abstract: Let p be an odd prime number and K/F be a quadratic extension of p-adic fields. Say that an irreducible representation of GL(n,K) is distinguished by GL(n,F) if its vector space carries a GL(n,F)-invariant nonzero linear form. Any distinguished representation is isomorphic to the contragredient of its Gal(K/F)-conjugate, but the converse is not true. We will explain how to canonically associate to any Gal(K/F)-selfcontragredient supercuspidal representation of GL(n,K) a finite tamely ramified extension T of F and a character of the multiplicative group of T, by using Bushnell-Kutzko’s theory of types, and how to get a necessary and sufficient condition on this character for this supercuspidal representation to be distinguished.