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Home » EGN Moduli and Representation Theory seminar: Refined BPS invariants for local del Pezzos and representations of affine E_8

Seminar

EGN Moduli and Representation Theory seminar: Refined BPS invariants for local del Pezzos and representations of affine E_8 April 23, 2018 (03:30 PM PDT - 05:00 PM PDT)
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Location: MSRI: Baker Board Room
Speaker(s) Sheldon Katz (University of Illinois at Urbana-Champaign)
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In this work in progress, I consider refined curve counting on local Pezzo surfaces and match to the physically derived formulas of Huang-Klemm-Poretschkin.  Due to the presence of a non-geometric global symmetry in the physics, generating functions for the invariants associated to dP_n (the blowup of n general points in P^2) are supposed to organize as representations of E_n, and as representations of affine E_8 for the rational elliptic surface.  By geometry I define and compute Weyl-invariant characters of a maximal torus associated with the refined BPS invariants.  In all cases to date where the calculation has concluded, these characters coincide with the characters of representations of E_n who dimensions match the predictions of HKP.

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