The moduli spaces of Higgs bundles

Description:  Given a Lie group G, the notion of G-Higgs bundle on a compact Riemann surface was introduced in the 1980s and 1990s by Nigel Hitchin. The algebraic varieties that parameterize these objects, i.e. their moduli spaces, have an extremely rich geometric and topological structure, yet are far from being understood for most groups G. Even their simplest topological invariant - the number of connected components - is still subject of current research. In this talk we will take a brief tour around Higgs bundles and their moduli spaces, avoiding going into technical details, and highlighting some of the exciting connections with other areas of Mathematics and Physics. Date:  2019-12-02 Start Time:   09:30 Speaker:  André Oliveira (CMUP) Institution:  CMUP Place:  Sala 1.09, DMat UPorto See more:   <Main>   <UC|UP MATH PhD Program>