YoVDO

Real Gromov-Witten Theory

Offered By: International Mathematical Union via YouTube

Tags

Moduli Space Courses Gromov-Witten Invariants Courses Symplectic Manifolds Courses

Course Description

Overview

Explore recent developments in real Gromov-Witten theory through this 44-minute conference talk by Penka Georgieva. Delve into the main challenges of construction and key structural results. Learn about symplectic manifolds, pseudo-holomorphic maps, and connections motivated by physics. Examine moduli spaces, Gromov-Witten invariants, and generating series. Investigate real enumerative geometry, higher genus real GW invariants, and local theory. Discover 2d KTOFT, semi-simple theories, and the extension to 2SymCobKlein TOFT structure of RGW. Access accompanying presentation slides for enhanced understanding of this complex mathematical topic.

Syllabus

Intro
Symplectic manifolds and pseudo-holomorphic maps
Connections motivated by physics
Moduli spaces and Gromov-Witten invariants
GW generating series
Real enumerative geometry
Higher genus real GW invariants
Local theory
2d KTOFT
Semi-simple theories
Extension : 2SymCob
Klein TOFT structure of RGW


Taught by

International Mathematical Union

Related Courses

Introduction to Contact Geometry by Dheeraj Kulkarni
International Centre for Theoretical Sciences via YouTube
Waists, Widths and Symplectic Embeddings
Institute for Pure & Applied Mathematics (IPAM) via YouTube
Homological Mirror Symmetry - Lagrangian SYZ Fibrations
IMSA via YouTube
Introduction to Fukaya Categories - James Pascaleff
Hausdorff Center for Mathematics via YouTube
The Liouville Current and Complex Structures for Hitchin Representations - F. Labourie
ICTP Mathematics via YouTube