报告题目： l-adic local systems, Higgs bundles and Arthur trace formulas

报告人： Hongjie Yu（IST Austria）

报告时间：12.17 15:30-17:00

腾讯会议：650-784-629（会议密码：1217）

摘要：

Deligne raised the question of counting l-adic local systems on a curve and made some conjectures about it. The global Langlands correspondence proved by L. Lafforgue offers the possibility to do the counting by enumerating some cuspid automorphic representations which can be done using Arthur's trace formula. From another perspective, Ngô, Chaudoaurd and Laumon observed a relation between the moduli of semi-stable Higgs bundles and a Lie algebra analogue of the trace formula. Using an exponential map (Springer isomorphism), we relate Arthur's trace formula to its Lie algebra analogue, which implies a numerical relation between Higgs bundles and l-adic local systems.