Systolically extremal nonpositively curved surfaces

Orateur:	Stéphane SABOURAU
Type:	Groupe de travail théorie du min-max
Site:	UGE , 4B 107
Date de début:	09/04/2019 - 15:30
Date de fin:	09/04/2019 - 16:30

The systole of a surface with a given metric is the length of the shortest noncontractible closed curve. We will go over systolic inequalities on surfaces and present the metric with minimal area among all the nonpositively curved metrics on a genus two surface with given systole.