Wed, January 29, 2020
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4:00pm [4:00pm] Anand Sawant : School of Mathematics, TIFR: Mathematics Colloquium
Description:
Mathematics Colloquium Speaker: Anand Sawant. Affiliation: School of Mathematics, TIFR. Date and Time: Wednesday 29 January, 04:00 pm - 05:00 pm. Venue: Ramanujan Hall, Department of Mathematics. Title: Central extensions of algebraic groups revisited. Abstract: The study of central extensions of a group, which began with the work of Schur, has a long history spanning more than a hundred years. Celebrated results of Steinberg and Matsumoto obtained about fifty years ago determine the universal central extension of certain algebraic groups. These results have lead to a lot of interesting developments, for instance, the work of Brylinski and Deligne about determining the category of central extensions of a reductive group by K_2 in terms of certain quadratic forms. I will briefly survey these classical results and discuss how all these results can be uniformly explained and generalized using motivic homotopy theory. The talk is based on joint work with Fabien Morel and will not presume any knowledge of motivic homotopy theory.

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