Dear all,

Here is the announcement of the next MAP seminar.

⟶ Wednesday 19 March, at 11:30 in Aula Seminari (if anyone requests, we can stream the event via google meet)

⟶ Speaker: *Lukas Anzeletti* (TU Wien)

⟶ Title: *Behavior of the law of the solution for singular SDEs driven by fractional Brownian motion*

⟶ Abstract: We investigate the properties of solutions to a well-posed SDE with distributional drift and fractional Brownian noise. The results include that the density of the law of the unique solution enjoys a certain regularity in space and integrability in time as well as upper and lower Gaussian bounds. Moreover, implications on the existence of solutions to a related McKean-Vlasov equation are presented. Joint work with Lucio Galeati, Alexandre Richard and Etienne Tanré.

We remind you that these seminars are addressed to everybody: the first half of the seminar is dedicated to the introduction of notions and tools needed in the second half, which is focused on research topics.

See you soon,

The organizers: Michele Caselli Francesco Malizia Jeremy Mirmina Filippo Paiano Leonardo Roveri

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