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Real Gromov-Witten Theory

International Mathematical Union via YouTube

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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

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