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| - | * **March 19th** \\ Speaker: ** Francesco Lin (Columbia) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | * **March 19th** \\ Speaker: ** Francesco Lin (Columbia) ** \\ Title: ** Coexact 1-form spectral gaps of hyperbolic rational homology spheres ** <WRAP box>// Abstract: // The spectral gap of the Hodge Laplacian of functions (or, |
| + | equivalently, exact 1-forms) is a very well-studied fundamental | ||
| + | quantity associated to a hyperbolic three-manifold. In recent years, | ||
| + | the problem of understanding its counterpart on coexact 1-forms has | ||
| + | also spurred a lot of activity because of its relation with questions | ||
| + | in number theory and low-dimensional topology. In this talk, after | ||
| + | introducing the geometric setup and highlighting some fundamental | ||
| + | differences between these two quantities, I will focus on some | ||
| + | structural properties of the set of coexact 1-form spectral gaps of | ||
| + | hyperbolic rational homology spheres. In particular, I will discuss a | ||
| + | construction that allows to determine somewhat explicitly some | ||
| + | interesting accumulation points of the set of such spectral gaps. This | ||
| + | is joint work with M. Lipnowski. \\ </WRAP> | ||
| - | * **March 26th** \\ Speaker: ** ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> | + | * **March 26th** \\ Speaker: ** Varinderjit Mann (Cornell University) ** \\ Title: ** ** <WRAP box>// Abstract: // \\ </WRAP> |
| * **April 2nd** <WRAP box>// // (Spring break - no seminar) \\ </WRAP> | * **April 2nd** <WRAP box>// // (Spring break - no seminar) \\ </WRAP> | ||