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Friday, April 19, 2019
12:00 PM - 1:00 PM
Linde Hall 255

Math Graduate Student Seminar

Introduction to homological blocks
Sunghyuk Park, Department of Mathematics, Caltech,

$\hat Z_b$, known as the homological block or WRT block, is an invariant of 3-manifolds first introduced in the works of Gukov, Pei, Putrov and Vafa based on physics. While a full-fledged definition of $\hat Z_b$ is yet to be discovered, physics predicts that these homological blocks provide a way to categorify WRT invariants, thereby generalizing Khovanov homology. In this talk I will first review how to compute $\hat Z_b$ for some classes of 3-manifolds, and then move on to discuss some recent progress revealing interesting properties of $\hat Z_b$.

For more information, please contact Math Dept. by phone at 626-395-4335 or by email at mathinfo@caltech.edu.