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# Geometric Methods in Rep Theory Seminar – Szilard Szabo (Budapest University of Technology and Economics)

## October 25, 2023 @ 4:00 pm - 5:00 pm

**Title: **Hitchin WKB problem and Geometric P=W conjecture in rank 2

**Abstract:** After reviewing nonabelian Hodge and Riemann–Hilbert correspondences over curves, I state two closely related open problems concerning their large-scale behavior. I then propose an answer to these questions in some particular cases. The talk will mainly use tools from complex geometry and analysis.