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Title: Optimal Hardy identities and inequalites for the fractional Laplacian on $L^p$

Abstract: We will present a route from symmetric Markovian semigroups to Hardy inequalities, to nonexplosion and contractivity results for Feynman-Kac semigroups on $L^p$. We will focus on the fractional Laplacian on $\mathbb{R}^d$, in which case the constants, estimates of the Feynman-Kac semigroups and tresholds for contractivity and explosion are sharp. Namely we will discuss selected results from arXiv:2103.06550, joint with Bartl omiej Dyda, Tomasz Grzywny, Tomasz Jakubowski, Panki Kim, Julia Lenczewska, Katarzyna Pietruska-Pa\l uba or Dominika Pilarczyk.

For Zoom meeting information please contact the organizer dmitry.jakobson [at] mcgill.ca