**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.