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 Events
MIT
Mon 19 Nov 2018, 4:00pm
Algebraic Geometry Seminar
Math 126
Motivic Hilbert zeta functions of curves
Math 126
Mon 19 Nov 2018, 4:00pm-5:00pm

Abstract

The Grothendieck ring of varieties is the target of a rich invariant associated to any algebraic variety which witnesses the interplay between geometric, topological and arithmetic properties of the variety. The motivic Hilbert zeta function is the generating series for classes in this ring associated to a certain compactification of the unordered configuration space, the Hilbert scheme of points, of a variety. In this talk I will discuss the behavior of the motivic Hilbert zeta function of a reduced curve with arbitrary singularities. For planar singularities, there is a large body of work detailing beautiful connections with enumerative geometry, representation theory and topology. I will discuss some conjectural extensions of this picture to non-planar curves.
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Missiouri
Mon 26 Nov 2018, 3:00pm SPECIAL
Algebraic Geometry Seminar
Math 126
TBA
Math 126
Mon 26 Nov 2018, 3:00pm-4:00pm

Abstract

 TBA
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