Gromov, Hanke, Sormani, Yu's


Not Only Scalar Curvature

Upcoming talks


May 8, 2024

Nadine Große: On spectra of Laplace and Dirac operators on noncompact manifolds
(11:00 am NYC, 17:00 Paris)
In this talk we give an overview over results on the spectrum of Laplace and Dirac operators on complete manifolds. After a general introduction to the different types of spectra, we review several results on spectra for special behaviors of the manifolds at infinity. At the end, we also discuss the influence of some additional potentials.

Nelia Charalambous: On the $L^p$ spectrum
(12:15 pm NYC, 18:15 Paris)
In this talk, we will show that the resolvent set of the Laplacian on $L^p$ integrable $k$-forms lies outside a parabola whenever the volume of the manifold has an exponential volume growth rate, removing the requirement on the manifold to be of bounded geometry. Moreover, we find sufficient conditions on an open Riemannian manifold so that a Weyl criterion holds for the $L^p$-spectrum of the Laplacian on $k$-forms, and we provide a detailed description of the $L^p$ spectrum of the Laplacian on $k$-forms over hyperbolic space. The above results are joint work with Zhiqin Lu. We will also see a recent result with Julie Rowlett for the $L^p$ spectrum of conformally compact manifolds.

May 22, 2024

Yevgeny Liokumovich: tba
(11:00 am NYC, 17:00 Paris)


Alexey Balitskiy: tba
(12:15 pm NYC, 18:15 Paris)


June 5, 2024

Masha Gordina: tba
(11:00 am NYC, 17:00 Paris)


Liangbing Luo: tba
(12:15 pm NYC, 18:15 Paris)


Previous talks

Seminar Info

Each session will consist of two lectures: an introductory colloquium and a related seminar on a recent advance in geometry. Not all the talks will concern scalar curvature but perhaps many will. The pair of talks will be followed by a discussion both in person and online. Everyone is welcome to join the session live (zoom) or watch the recorded videos of the talks later (IHES channel).


Zoom starts at 11:00 am NYC time:

click here to register and receive link


IHES Carmin TV Channel Info:

https://www.carmin.tv/en/collections/not-only-scalar-curvature-seminar

Organizers

Misha Gromov, IHES
Website: https://www.ihes.fr/~gromov/

Bernhard Hanke, University of Augsburg
Website: https://www.uni-augsburg.de/de/fakultaet/mntf/math/prof/diff/team/bernhard-hanke/

Christina Sormani, CUNY Graduate Center and Lehman College
Website: https://sites.google.com/site/professorsormani/home

Gouliang Yu, Texas A&M University
Website: https://www.math.tamu.edu/~guoliangyu/