Seminari di Geometria: Leandro de Freitas Pessoa e Stefan Gille

The Mean Exit Time for Submanifolds / Rost nilpotence and direct sums

Lunedì 9 Giugno 2025, dalle ore 14:00 in Aula 2109 (2° Piano) - Edificio U5, Leandro de Freitas Pessoa (Università Federale di Piauí, Brasile) e Stefan Gille (Università di Alberta, Canada) terranno i seguenti interventi

 

Relatore: Leandro de Freitas Pessoa

Titolo: The Mean Exit Time for Submanifolds

Abstract: We will discuss the mean exit time for Brownian motion on a submanifold. We will show that minimal submanifolds with infinite mean exit time cannot be isometrically immersed in cylinders (horocylinders), cones, and wedges of certain product spaces.

 

Relatore: Stefan Gille

Titolo: Rost nilpotence and direct sums

Abstract: In the first half of the talk I will explain Rost nilpotence and its applications, and then discuss whether this property holds for a finite direct sum of motives if it holds for all summands.  It turns out that this is the case if one assumes a slightly stronger version of Rost nilpotence which -- as I will explain -- actually holds for all cases where the 'original' form of Rost nilpotence has been verified.

 

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