### Algebraic approach to tensor product theorems

Balaji, V *(Chennai Mathematical Institute)*

Thursday 26 May 2011, 11:00-12:00

Seminar Room 1, Newton Institute

#### Abstract

The aim of the talk is to give the general geometric invariant theoretic approach to proving tensor product theorems of semi-stable objects as highlighted in the work of Bogomolov and Ramanan & Ramanathan.
This approach will be used to give algebraic proofs of the tensor product theorem for semi-stable Hitchin pairs over arbitrary ground fields. Towards this, one needs to develop a purely algebraic notion of a Hitchin scheme, an object dual in a certain sense to a Hitchin pair.

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