Torelli Action on SU(n) Representation Varieties of Projective Curves

Explore a conference talk by Donu Arapura from Purdue University on the Torelli action on representation varieties. Delve into ongoing research conducted with Dick Hain, building upon the work of Cappell, Lee, and Miller. Learn about the nontrivial action of the Torelli group on the cohomology of SU(2) representation variety for smooth projective curves. Discover the refined arguments and proof demonstrating the nontrivial Torelli action on degree 6 cohomology of SU(n) representation variety for n ≥ 1. Examine the Hodge theoretic implications for the moduli of semistable bundles of rank n with trivial determinant. Gain insights into this complex mathematical topic presented at the "Periods, Shafarevich Maps and Applications" conference hosted by the University of Miami.