On the geometric P=W conjecture
组织者
黄鹏飞
,
苏桃
, 孙浩
演讲者
Mirko Mauri
时间
2024年05月08日 15:30 至 16:30
地点
A3-2-303
线上
Zoom 242 742 6089
(BIMSA)
摘要
The geometric P = W conjecture is a conjectural description of the asymptotic behaviour of a celebrated correspondence in non-abelian Hodge theory. In a joint work with Enrica Mazzon and Matthew Stevenson, we establish the full geometric conjecture for compact Riemann surfaces of genus one, and obtain partial results in arbitrary genus: this is the first non-trivial evidence of the conjecture for compact Riemann surfaces. To this end, we employ non-Archimedean, birational and degeneration techniques to study the topology of the dual boundary complex of certain character varieties.