Abstract: Non-abelian Hodge theory relates representations of the fundamental group of a compact Riemann surface X into a Lie group G with holomorphic objects on X known as Higgs bundles, introduced by Hitchin more than 35 years ago. Starting with the case in which G is the circle, and the 19th century Abel-Jacobi's theory, we will move to the case of G=SL(2,R) and the relation to Teichmüller t...
SpeakerI am interested in the topology of algebraic varieties, and its interaction with combinatorics and algebraic statistics. I am currently interested in the following topics.☑The topological aspects of algebraic optimization problems☑Fourier-Mukai (or Mellin) transformation and the generic vanishing theorems☑Kazhdan-Lusztig theory for matroids☑Schubert varieties of hyperplane arrangemen...
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