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Homological Mirror Symmetry - Quivers & Curves in Higher Dimensions

Offered By: IMSA via YouTube

Tags

Homological Mirror Symmetry Courses Combinatorics Courses Representation Theory Courses Donaldson-Thomas Invariants Courses

Course Description

Overview

Explore the intricate connections between quiver mutations, Poisson X-cluster varieties, and Calabi-Yau categories in this advanced mathematics lecture. Delve into the combinatorics of quiver mutations and their role in constructing n-dimensional Poisson X-cluster varieties. Examine how the representation theory of quivers with potentials leads to the formation of 3-dimensional Calabi-Yau categories. Discover the correspondence between Donaldson-Thomas invariants and rational curve counts in normal crossings compactifications, relating to log Gromov-Witten invariants. Gain insights into ongoing research in homological mirror symmetry, presented by Hülya Argüz from the University of Georgia in collaboration with Pierrick Bousseau.

Syllabus

Homological Mirror Symmetry: Hülya Argüz, Univ. of Georgia: Quivers & Curves in Higher Dimensions


Taught by

IMSA

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