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Title:
Higgs bundles, T-duality, and Hodge theory

Speaker:
Tony Pantev

Abstract:
I will introduce Higgs bundles on algebraic varieties with a focus on some interesting Hodge theoretic questions that arise form their study and the study of their moduli spaces. Specifically in the case of curves I will discuss Hitchin's integrable system, the T-duality of the Hitchin fibers, and its implications for the Geometric Langlands Correspondence. I will also discuss briefly the functoriality question in non-abelian Hodge theory and its geometric consequences.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=2471

Workshop:
Simons- Program: Complex p-adic and logarithmic Hodge theory