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Quantum Steenrod Operations, p-curvature, and Representation Theory

Institute for Advanced Study via YouTube

Overview

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Explore a research talk from Stanford University's Jae Hee Lee, delivered as part of the Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Zoominar, examining the intricate relationship between quantum Steenrod operations and p-curvature of quantum connections. Delve into the fundamental concepts of quantum Steenrod operations as deformations of classical Steenrod operations on mod p cohomology, defined through counts of genus 0 holomorphic curves with p-fold symmetry. Learn how these operations connect to symplectic resolutions in representation theory and their significance in the 3D mirror symmetry program. Discover recent developments in the field and understand the collaborative research conducted with Shaoyun Bai, offering insights into the duality between symplectic resolutions and their role in modern mathematical physics.

Syllabus

Quantum Steenrod Operations, p-curvature, and Representation Theory - Jae Hee Lee

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Institute for Advanced Study

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