ENDOMORPHISMS OF JACOBIANS OF ALGEBRAIC CURVES WITH AUTOMORPHISMS - MARCO BOGGI

Let C be a very general complex smooth projective algebraic curve endowed with a group of automorphisms G such that the quotient C/G has genus at least 3. I will show that the algebra of Q-endomorphisms of the Jacobian J(C) of C is naturally isomorphic to the group algebra QG. Time permitting, I will then explain some applications of this result to the theory of virtual linear representations of the mapping class group. This talk is based on a joint work with Eduard Looijenga (cf. arXiv:1811.09741).

• Locandina (79 KB)