### Analysis and Probability SeminarInfinite-dimensional Carnot groupsTerhi Moisala (University of Jyväskylä)

Friday, October 4, 2019
1:30pm – 2:30pm

Storrs Campus
MONT 313

Abstract: I will introduce a class of spaces that can be seen as an infinite-dimensional analogue of Carnot groups and, on the other hand, as a noncommutative generalization of Banach spaces. We will see examples of these spaces as well as a geometric characterization. I will also show that any Lipschitz map with infinite-dimensional Carnot group domain has a point of Gâteaux differentiability (joint work with Enrico Le Donne and Sean Li) and that these spaces naturally appear as direct limits of classical Carnot groups (in preparation, with Enrico Pasqualetto).

Contact:

scott.zimmerman@uconn.edu

Analysis and Probability Seminar (primary), UConn Master Calendar