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Geometry from Donaldson-Thomas Invariants

Offered By: Institut des Hautes Etudes Scientifiques (IHES) via YouTube

Tags

Geometry Courses Mathematical Physics Courses Algebraic Geometry Courses Complex Geometry Courses Calabi-Yau Manifold Courses Hitchin Systems Courses Donaldson-Thomas Invariants Courses

Course Description

Overview

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Explore the intricate world of Donaldson-Thomas (DT) invariants in this advanced mathematics lecture. Delve into the application of DT invariants in defining geometric structures on the space of stability conditions within Calabi-Yau 3 (CY3) triangulated categories. Examine the anticipated geometry, which incorporates a hyperkähler structure, and investigate the primary class of examples resembling complexified Hitchin systems. Gain insights from Tom Bridgeland of the University of Sheffield as he presents current research and discusses the challenges in this cutting-edge field of mathematical geometry. Enhance your understanding of complex mathematical concepts and their potential applications in theoretical physics and algebraic geometry.

Syllabus

Tom Bridgeland - Geometry from Donaldson-Thomas Invariants


Taught by

Institut des Hautes Etudes Scientifiques (IHES)

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