Inoltro avviso di Seminario a me pervenuto. Cordiali saluti Liviana Paoletti ----- Original Message ----- From: Valeria Giuliani Subject: avviso seminario di matematica Prof. Gabriele Vezzosi (08.06.2011)

SEMINARIO DI MATEMATICA

mercoledì 08 giugno 2011 ore 15.00

Scuola Normale Superiore

Pisa

(Sala degli Stemmi)

Gabriele Vezzosi

Université de Lille - France

Terrà un seminario dal titolo:

“Reduced obstruction theories via derived algebraic geometry”

Abstract

Let S be an algebraic K3-surface, g ≥ 0, and b ≠ 0 in H_2(S, Z) a curve class. After recalling the necessary background on derived algebraic geometry I will construct a derived stack RM whose truncation is the usual stack M of stable maps from curves of genus g to S hitting the class b, and such that the inclusion of M into RM induces on M a perfect obstruction theory whose tangent and obstruction spaces coincide with the corresponding reduced spaces of Okounkov–Maulik–Pandharipande–Thomas. This approach uses derived algebraic geometry and yields not only a full rigorous proof of the existence of a global reduced obstruction theory, not relying on any result on semiregularity maps, but also a new global geometric interpretation. This is joint work with T. Schürg (Mainz) and B. Toën (CNRS, Montpellier).

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze

-------------------------------------------------------------------------------- Valeria Giuliani Scuola Normale Superiore Servizio Supporto Attività Didattiche - Scienze Tel. 050-509260 Fax. 050-509045 Piazza dei Cavalieri, 7 56126 Pisa E-Mail: v.giuliani@sns.it E-Mail: segreteria.scienze@sns.it

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