Speaker: Yuji Tachikawa (IPMU)
Time: Wednesday 28th May, 11 a.m.
Location: Online
Zoom Meeting ID: 840 1916 8904(Passcode: 965179)
Abstract:
Let N(Γ,G) be the number of homomorphisms from Γ to G up to conjugation by G. Physics of four-dimensional N=4 supersymmetric gauge theories predicts that N(Γ,G)=N(Γ,G̃) when Γ is a finite subgroup of SU(2), G is a connected compact simple Lie group and G̃ is its Langlands dual. I explain how this conjecture comes about, and then prove some subcases to lend credence to the conjecture. This is a collaboration with a graduate student Yuki Kojima and a postdoc Sunjin Choi, with the math part already available as a preprint, https://arxiv.org/abs/2505.01253 .
Introduction to the Speaker:
Yuji Tachikawa is a Professor at Kavli IPMU. He is a winner of the 2016 New Horizons in Physics Prize for his deepening studies of Supersymmetric Quantum Field Theories. His research mostly focuses on mathematical aspects of String Theory and Quantum Field Theory, such as symmetries, anomalies, geometric and algebraic structures associated to Supersymmetric Quantum Field Theory.
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