Workshop on Gross-Siebert Program
Date: September 15-21, 2017 Place: Room 8101, KIAS |
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◆ Time Table
◆ Talk Title
Speaker: Michel van Garrel
These introductory talks are meant to solidify knowledge on foundational aspects relating to the Gross-Siebert program. We will start by covering toric varieties and Gromov-Witten invariants. Depending on time, we will delve into the SYZ conjecture and survey the Gross-Siebert program for elliptic curves, which will serve as the running example for much of the lecture series.
Speaker: Mark Gross [Lecture Notes download]
I will focus on aspects of the Gross-Siebert program, beginning with an introduction to logarithmic geometry. I will then discuss logarithmic Gromov-Witten invariants and show how they can be used to construct mirrors. I will first consider the construction of mirrors of log Calabi-Yau surfaces a la Gross-Hacking-Keel, and then describe more recent work of Gross-Siebert on a general mirror construction.
Speaker: Bernd Siebert
The aim of this series of talks is to give an introduction to toric degenerations, with an emphasis on moduli, their complex geometry and the existence of special functions. These special functions are related to theta functions and fully quantum corrected Landau-Ginzburg potentials. Toric degenerations of K3 surfaces serve as a running example with particularly beautiful properties.
These introductory talks are meant to solidify knowledge on foundational aspects relating to the Gross-Siebert program. We will start by covering toric varieties and Gromov-Witten invariants. Depending on time, we will delve into the SYZ conjecture and survey the Gross-Siebert program for elliptic curves, which will serve as the running example for much of the lecture series.
Speaker: Mark Gross [Lecture Notes download]
I will focus on aspects of the Gross-Siebert program, beginning with an introduction to logarithmic geometry. I will then discuss logarithmic Gromov-Witten invariants and show how they can be used to construct mirrors. I will first consider the construction of mirrors of log Calabi-Yau surfaces a la Gross-Hacking-Keel, and then describe more recent work of Gross-Siebert on a general mirror construction.
Speaker: Bernd Siebert
The aim of this series of talks is to give an introduction to toric degenerations, with an emphasis on moduli, their complex geometry and the existence of special functions. These special functions are related to theta functions and fully quantum corrected Landau-Ginzburg potentials. Toric degenerations of K3 surfaces serve as a running example with particularly beautiful properties.