Room 505+Online Meeting, Cosmology Building, NTU
(臺灣大學次震宇宙館 505室+線上會議)
Painlevé VI: the search for canonical representations
Aaron Landesman (Harvard University)
Abstract
In 1902, Painlevé classified second order differential equations whose only movable singularities are poles, thereby obtaining the six Painlevé equations. Algebraic solutions to Painlevé's sixth equation correspond to canonical triples of 2 by 2 complex matrices. One can alternatively view these canonical triples of matrices either as canonical representations of fundamental groups of surfaces or as local systems on certain moduli spaces of curves. In this talk, based on joint work with Josh Lam and Daniel Litt, we will survey what is known about these canonical representations.
Zoom Link
https://www.google.com/url?q=https://us02web.zoom.us/j/82946927987?pwd%3D3HLuRdGVSbHpQTu5XHCJZIpCS9XNxE.1&sa=D&source=calendar&ust=1790043003231984&usg=AOvVaw28NyQHNTs9uPi2TnXPyfxU
Organizer
Weichung Chen (NTU)
