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题 目:Groups and geometry


报告人:Nero Budur


单  位:Department of Mathematics, KU Leuven, Belgium


时 间:2018年12月28日 下午16:00-17:00


地 点:蒙民伟楼1105


摘 要:The representations of the fundamental group of an algebraicvariety form important topological invariants connecting group theorywith geometry. In this talk, we focus on the varieties of smallestnon-trivial dimension: curves. Using quivers and jet schemes, we showthat the geometry of the space of representations has constrainedsingularities. We apply this to show that the number of irreducible complexrepresentations of SL_n(Z) of dimension at most m grows at most as the square of m, for a fixed n>2.


邀请人:杨东 老师