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Daily Overview |
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AG2: Algebraic Geometry Location: A701 Session Chair: Mateusz Michalek Session Chair: Botong Wang | |
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Tropical reductive groups and principal bundles on metric graphs 1: Goethe University Frankfurt, Germany; 2: Max Planck Institute for Mathematics in the Sciences, Leipzig, Germany; 3: Paderborn University, Germany; 4: Central Michigan University, USA In this talk I will explain of our proposed elementary tropical analogue of a reductive group that combines the datum of a Weyl group and the tropicalization of a fixed maximal torus. For the classical groups these tropical reductive groups admit descriptions as tropical matrix groups that resemble their classical counterparts. Employing this perspective, one can introduce tropical principal bundles on metric graphs and study their explicit presentations as pushforwards of line bundles along covers with symmetries and extra data. The main result identifies the essential skeleton of the moduli space of semistable principal bundles on a Tate curve with its tropical analogue. | |
