Tuesday, March 8, 2022
Time | Items |
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All day |
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4:00pm |
03/08/2022 - 4:15pm If $\Sigma_i$ is a stable submanifold of $M_i$, for $i = 1,2$, then $\Sigma_1\times\Sigma_2$ is a stable submanifold in $M_1 \times M_2$. Are all the stable submanifolds in $M_1 \times M_2$ like that? We will show that is the case for specific dimensions and codimensions in the product of a complex or quaternionic projective space with any other Riemannian manifold. We will also talk about the behaviour of stable submanifolds under a complex structure of the product of two complex projective spaces. We will describe how our proofs were motivated by work that has be done by Simons, Lawson, Ohnita, Torralbo and Urbano. Part of this work is joint with Shuli Chen (Stanford) Location:
https://yale.zoom.us/j/94256436597
03/08/2022 - 4:30pm In this talk, I will establish a sharp bound on the growth of cuspidal Bianchi modular forms. By the Eichler-Shimura isomorphism, we actually give a sharp bound of the second cohomology of a hyperbolic three manifold (Bianchi manifold) with local system arising from the representation $Sym^k \otimes \overline{Sym^k}$ of $SL_2(\mathbb{C})$. I will explain how a $p$-adic algebraic method is used for deriving our result. Location: |