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# Dr. Yannick Sire, Johns Hopkins – Geometric variational problems: regularity vs singularity formation

## October 27, 2022 @ 3:30 pm - 4:30 pm

Mode: In-person

Title: *Geometric variational problems: regularity vs singularity formation*

Abstract: I will describe in a very informal way some techniques to deal with the existence ( and more qualitatively regularity vs singularity formation) in different geometric problems and their heat flows motivated by (variations of) the harmonic map problem, the construction of Yang-Mills connections or nematic liquid crystals. I will emphasize in particular on recent results on the construction of very fine asymptotics of blow-up solutions via a new gluing method designed for parabolic flows. I’ll describe several open problems and many possible generalizations, since the techniques are rather flexible.

There will be a tea from 3:00p-3:30p in PH 330 before this event.