# Colloquium abstracts

**Umesh K.V. Dubey**

TIFR

September 6, 2012

**Spectrum of tensor triangulated catgories**: P.Balmer introduced the notion of spectrum of tensor triangulated categories to extract geometric information from the categorical data. One of problem in this direction is to compute spectrum for various examples. In this talk we present some examples coming from Algebraic Geometry. We'll first briefly recall tensor triangulated categories and then we'll give basic definitions related to spectrum. We'll also indicate the Balmer's method of reconstruction of certain schemes using spectrum. If time permit we'll indicate proof of results obtained with Vivek M. Mallick.