AbstractIt is attractive to classify Fano varieties with various types of singularities that originated from the minimal model program. For a Fano variety, the Fano index is the largest integer m such that the anti-canonical divisor is Q-linearly equivalent to m times some Weil divisor. For Fano varieties of various singularities, I show the Fano indexes can grow double exponentially with respe...
AbstractIn this talk, we will focus on Sp/SO Hitchin systems on marked curves with residues of Higgsfields lying in special nilpotent orbit closures which are related by the Springer correspondence. Wewill first show how to resolve singularities of generic spectral curves using Spaltenstein'sdescription of Kazhdan-Lusztig maps for classical groups via characteristic polynomials. Then wewill dis...
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