»ã±¨±êÌâ (Title)£ºÓµÓÐ3¸öÌìÉúÔªµÄ¶þ²½CarnotȺµÄÈȺ˽¥½üÐÔ

»ã±¨ÈË (Speaker)£ºÀîºéÈ« ½ÌÊÚ£¨¸´µ©´óѧ£©

»ã±¨¹¦·ò (Time)£º2023Äê10ÔÂ10ÈÕ (Öܶþ) 10:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿F309»áÒéÊÒ

Ô¼ÇëÈË(Inviter)£ºÕÔ·¢ÓÑ ½ÌÊÚ

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»ã±¨ÌáÒª£ºThe heat semi-group and its kernel play a crucial role in various areas of Mathematics. For instance, we can use its small-time asymptotic behaviors to study geometric properties of the underlying space, such as the squared distance, the cut locus, etc. In this talk, we consider uniform heat kernel asymptotics on a toy model: the free step-two Carnot group with 3 generator. The method also allow us to study the Riemannian heat kernel and geometric properties. The talk is based on a work with S.-C. Mao and Ye Zhang.