Colloquium of the ZMP: Open Gromov-Witten theory -- introduction and recent developments

by Dr Sara Tukachinsky (Tel Aviv University)

Thursday 30 May 2024, 16:15 → 17:45 Europe/Berlin

H2 (GEOMATIKUM)

Enumerative geometry deals with questions of the form "How many objects X there are that satisfy property Y?". One branch of it is Gromov-Witten theory, that deals with counts of pseudo-holomorphic curves in symplectic manifolds. Open Gromov-Witten theory poses analogous questions for curves with boundary, and the presence of boundary creates many extra difficulties. In this talk, I will give a little background, discuss some of the fundamental issues, some of the proposed solutions, and some recent advances in the field. 
 

No prior knowledge of symplectic geometry or Gromov-Witten theory will be assumed.