香蕉视频

Title:聽An introduction to rigid local systems

Abstract:聽A representation of a group G is said to be rigid, if it cannot be continuously deformed to a non-isomorphic representation. If G happens to be the fundamental group of a complex projective manifold, rigid representations are conjectured (by Carlos Simpson) to be of geometric origin. In this talk I will outline the basic properties of rigid local systems and discuss several consequences of Simpson鈥榮 conjecture. I will then outline recent progress on these questions (joint work with H茅l猫ne Esnault) and briefly mention applications to geometry and number theory such as the recent resolution of the Andr茅-Oort conjecture by Pila-Shankar-Tsimerman.聽

Venue

Hybride - CRM, Salle / Room 5340, Pavillon Andr茅 Aisenstadt / Zoom (voir survol/ see overview)