Gromov, Hanke, Sormani, Yu's


Not Only Scalar Curvature

Upcoming talks


October 21, 2026

Qiaochu Ma: Gromov's Simplicial Volume Vanishing Conjecture for Positive Scalar Curvature
(16:30 Paris, 10:30 am NYC)
Gromov's simplicial volume vanishing conjecture predicts that if a closed oriented manifold admits a positive scalar curvature metric, then its simplicial volume vanishes. In this talk, we present a proof of this conjecture under a spin condition. Our proof is based on a quantitative refinement of the Connes-Moscovici higher index theorem. This is joint work with Jinmin Wang, Zhizhang Xie, Guoliang Yu, and Bo Zhu.

November 4, 2026

Gioacchino Antonelli: Spaces of metrics with positive spectral scalar curvature
(16:30 Paris, 10:30 am NYC)
For a closed $n$-manifold $M$, let $\mathscr{R}^\gamma(M)$ be the space of metrics $g$ for which -$γ \Delta_g + \mathrm{Scal}_g>0$. We prove that $\mathscr{R}^0(M) \hookrightarrow \mathscr{R}^\gamma(M)$ is a homotopy equivalence when $n = 2$ and $\gamma ≥ 0$, or when $n ≥ 3$ and $0 ≤ \gamma ≤ 4(n-1)/(n-2)$, while $\mathscr{R}^\gamma(M)$ is contractible when $n ≥ 3$ and $\gamma > 4(n-1)/(n-2)$. The latter proves a sharp homotopy-theoretic strengthening of a conjecture of Gromov. This is a joint work with G. Frenck and B. Hanke. 

November 18, 2026

Sun-Yung Alice Chang and Ruobing Zhang : tba
(16:30 Paris, 10:30 am NYC)


December 2, 2026

Simon Brendle: tba
(16:30 Paris, 10:30 am NYC)


December 16, 2026

tba
(16:30 Paris, 10:30 am NYC)

Previous talks

Seminar Info

Each session will consist of one or two lectures on a recent advance in geometry. Not all the talks will concern scalar curvature but perhaps many will. Each talk 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.


Zoom starts at 16:30 Paris 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/people/formalpg.php?user=guoliangyu