Boundary points of the ELSV compactification
 
 
Description:  The celebrated ELSV formula relates the number of covers of the projective line having a given profile over one point and fixed branch points to intersection numbers on the the moduli space of stable marked curves. The former number is essentially of combinatorial nature and boils down to counting the number of subgroups of a finite symmetric group having a specific set of generators, while the latter are geometric. The formula has had a major impact on the algebraic understanding of the cohomology of the moduli space of stable marked curves. The main focus of this talk will be on an (ELSV) compactification of the moduli space of covers of the projective line from which the formula can be deduced. Our goal is to have a modular understanding of boundary points of the ELSV compactification. This is expressed in terms of the combinatorics of underlying nodal marked curves.
Date:  2014-06-11
Start Time:   14:30
Speaker:  Bashar Dudin (CMUC)
Institution:  CMUC
Place:  Room 5.5 DMat
Research Groups: -Algebra and Combinatorics
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