**Date & Time:** Wednesday, April 20, 2016, 16:00-17:00.

**Venue:** Ramanujan Hall

**Speaker:**Omprokash Das,

School of Mathematics, TIFR Mumbai

**Title:** Mori Program or Minimal Model Program (MMP) in Higher Dimension.

**Abstract:** Let X and Y be two algebraic varieties of dimension n. We say
that X and Y are birationally equivalent if there exist non-empty open
sets U of X and V of Y such that U is isomorphic to V as a variety. This
forms an equivalence relation in the set of all varieties of a fixed
dimension. Mori Program or Minimal Model Program (MMP) aims to find a
'minimal' variety in each of these equivalence classes.
In this talk I will explain the algorithm of the Minimal Model Program and
the challenges we face in higher dimensions compared to the surface case.
If time permits I will also talk about the Singularities which appear in
the MMP, and MMP in positive characteristic.