A moduli perspective on Grassmannians and matroids in idempotent algebra

Tropical Geometry, Amoebas and Polytopes

15 February 14:00 - 15:00

Jeffrey Giansiracusa - Swansea University

Grassmannians are an important example of moduli spaces in algebraic geometry (over rings). In this talk I will explore and contrast several distinct notions of Grassmannians that appear when passing to the setting of idempotent semirings. There is: (1) a moduli space of locally free quotients, which has an interesting topology but might not be representable; (2) the Dressian, which is described elegantly in terms of an idempotent version of exterior algebra; and (3) various tropicalizations of Grassmannians. I will discuss these objects from a scheme-theoretic and moduli-theoretic point of view.
Jan Draisma
University of Bern
Anders Jensen
Aarhus University
Hannah Markwig
Universität Tübingen
Benjamin Nill
Otto von Guericke Universität Magdeburg


Hannah Markwig


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