Hitchin moduli spaces and ramified geometric Langlands, Zhiwei Yun (MIT)
I will start with a general introduction of Hitchin moduli space and its role in geometric representation theory. Then I will focus on the specific Hitchin moduli spaces for Higgs bundles on P^1 with level structures that were introduced and studied in joint work with Bezrukavnikov, Boixeda-Alvarez and McBreen. I will explain their role in formulating special cases of the ramified geometric Langlands conjecture, and give evidence for the conjecture.
北上暑校 Beijing-Shanghai Summer School in Mathematics
June 30 -- July 11, 2025
At the Shanghai Institute for Mathematics and Interdisciplinary Sciences (SIMIS)
上海数学与交叉学科研究院
https://summerschools.simis.cn/beishang2025/BeiShangHome.html
https://www.math.columbia.edu/~okounkov/BeiShangHome.html
