the invitation

Invitation to Seminar Talk
Higgs moduli and Hilbert schemes
Fernando Rodriguez Villegas
ICTP, Trieste
Host: Tamas Hausel
In the first part of the talk I will recall the conjectures with E. Letellier and T. Hausel on the mixed
Hodge structure of certain character varieties, emphasizing its combinatorial aspect. These
character varieties are themselves closely related to the moduli space of Higss bundles on a curve.
In the second half, I will discuss how via the corresponding generating series these conjectures are
related to the Frobenius series of appropriate modules in the theory of the Hilbert scheme of
points on C^2. In particular, the qt-Catalan polynomials of Garsia-Haiman have a natural
formulation in our context. In fact, there appears to be natural a dictionary between the two
theories translating questions of interest in one into the other.
Thursday, November 24, 2016, 01:45pm
Big Seminar Room / Ground Floor / Office Building West
Thi s invi tation is va lid as a ti cket for the IST Shuttle from a nd to Heiligenstadt Station. Pl ease find a s chedule
of the IST Shuttle on our webpage (note that the IST Shuttle ti mes a re highlighted i n dark green):
http://i st.ac.at/fileadmin/user_upload/pdfs/IST_shuttle_bus.pdf
The IST Shuttle bus is marked IST Shuttle (#242) and has the Institute Logo printed on the s ide.
Institute of Science and Technology Austria | Am Campus 1 | 3400 Klosterneuburg
www.ist.ac.at

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