Colloquium abstracts

Rohith Varma
Department of mathematics, Cornell University, U.S
February 4, 2016

On Higgs bundles on elliptic surfaces:  Consider a relatively minimal elliptic surface X--->C where euler characteristic of X is positive. We show that when X---->C is non-isotrivial and has no multiple fibers, a semistable Higgs bundle on X, with vanishing second chern class and determinant a pull back of a line bundle on C, is isomorphic to a pull-back of a semistable Higgs bundle on the curve C.