Prof. Dr. Bernd Siebert, Universität Hamburg, Vortrag: The maximal degeneration toolkit, generalized theta functions and mirror symmetry

Thursday, 06.11.2014 16:30 im Raum M 5

Mathematik und Informatik

Abstract: Toric varieties are an established method for the construction of certain varieties by discrete methods. While this correspondence has lead to a fruitful interaction between discrete geometry and algebraic geometry, it is bound to rational varieties, a very limited class from a classification theoretic point of view. The purpose of the talk is to survey the vast extension of this correspondence developed in joint work with Mark Gross that also covers such classes as Calabi-Yau- or non-rational Fano varieties. The method leads to certain highly non-trivial maximal degenerations of such varieties intimately related to mirror symmetry. The degenerations also have many interesting additional features, among them the existence of generalized theta functions.

Angelegt am Tuesday, 23.09.2014 15:23 von shupp_01
Geändert am Tuesday, 28.10.2014 13:57 von shupp_01
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Kolloquium Wilhelm Killing