Jintian Zhu - A proof of Riemannian positive mass theorem up to dimension 19 @IhesFr

Uploaded May 2026 | Updated September 2026, 2 weeks ago

In this talk, I will explain our idea to establish positive mass theorem (PMT) up to dimension 19, which was later developed by Brendle and Wang to show PMT in all dimensions. This is a joint work with Yuchen Bi, Tianze Hao, Shihang He and Yuguang Shi.

Jintian Zhu (Westlake)

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Find this and many more scientific videos on carmin.tv - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.

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Jintian Zhu - A proof of Riemannian positive mass theorem up to dimension 19

$Toshiki Nakashima - Characterization of the Unit Object in Localized Quantum Unipotent Category For the quiver Hecke algebra $R$, let $R$-gmod be the category of finite-dimensional graded $R$-modules, and let $widetilde{Rmbox{-gmod}}$ be the localization of $R$-gmod, called localized quantum unipotent category``. It has been shown that the set of equivalence classes of simple objects up to grading shifts ${rm Irr}(widetilde{Rmbox{-gmod}})$ in $widetilde{Rmbox{-gmod}}$ has a crystal structure, and ${rm Irr}(widetilde{Rmbox{-gmod}})$ is isomorphic to the so-called cellular crystal ${mathbb B}_{bf i}$ by M. Kashiwara and myself. This isomorphism induces a function $varepsilon_i^*$ on ${mathbb B}_{bf i}$. We give an explicit form of $varepsilon_i^*$, and using this, we give a characterization of the unit object of $widetilde{Rmbox{-gmod}}$ for finite classical types, $A_n,,B_n,, C_n$ and $D_n$. This is a joint work with Koh Matsuura. Toshiki Nakashima (Sophia University, Tokyo) Find this and many more scientific videos on https://www.carmin.tv/ - a French video platform for mathematics and their interactions with other sciences offering extra functionalities tailored to meet the needs of the research community.$