Soham Ghosh (UW)
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PDL C-38
Talk title: Fourier-Mukai transform and a generalized Poincaré formula for tropical abelian varieties
Abstract: I will present a (cohomological) Fourier-Mukai transform for tropical abelian varieties and provide some applications, including a generalized Poincaré formula for any nondegenerate line bundle on tropical abelian varieties. Based on joint work with Farbod Shokrieh.
Pretalk title: Fourier transform and intersection theory on complex abelian varieties
Abstract: As an introduction to the tak, I will describe the Fourier-Mukai transform on the chow ring of complex abelian varieties and how Beauville used it to obtain a generalized Poincaré formula for symmetric ample line bundles on abelian varieties.