Events for 03/02/2022 from all calendars

Mathematical Physics and Harmonic Analysis Seminar

Time: 09:00AM - 00:00AM

Location: Zoom

Speaker: Veronica Felli, U. Milano --- Bicocca

Title: On spectral stability of Aharonov-Bohm operators with moving poles

Abstract: In this talk, I will present some results in collaboration with L. Abatangelo, L. Hillairet, C. Léna, B. Noris, and M. Nys, concerning the behavior of the eigenvalues of Aharonov-Bohm operators with one moving pole or two colliding poles. In both cases of poles moving inside the domain and approaching the boundary, the rate of the eigenvalue variation is estimated in terms of the vanishing order of some limit eigenfunction. An accurate blow-up analysis for scaled eigenfunctions will be presented too.

Topology Seminar

Time: 4:00PM - 5:00PM

Location: Zoom

Speaker: Mohan Swaminathan, Princeton University

Title: Towards an extension of Taubes' Gromov invariant to Calabi--Yau 3-folds

Abstract: I will describe the construction of a virtual count of embedded pseudo-holomorphic curves of a given genus in a Calabi--Yau 3-fold lying in two times a primitive homology class. The result is an integer-valued symplectic deformation invariant which can be viewed as an analogue of Taubes' Gromov invariant (which is defined for symplectic 4-manifolds). The construction depends on a detailed bifurcation analysis of the moduli space of embedded curves along a generic path of almost complex structures and is partly motivated by Wendl's resolution of Bryan--Pandharipande's super-rigidity conjecture. This is based on joint work with Shaoyun Bai.