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        "combined_title":"Student Algebraic Geometry: Frobenius Lifts: Riku Kurama",
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        "description":"In order to study algebraic varieties of positive characteristics, it is sometimes fruitful to think about their lifts to characteristic 0 or infinitesimal lifts. For example, in the work of Deligne and Illusie, an infinitesimal liftability was a key ingredient for studying the degeneration of Hodge to de Rham spectral sequence. In this talk, we will discuss a particular type of lifting of varieties where we also lift the Frobenius morphism. This \u201cFrobenius lift\u201d has quite strong cohomological consequences, so we expect this to be rare. In fact, a conjecture of Achinger, Witaszek and Zdanowicz predicts that smooth projective varieties with Frobenius lifts are roughly built out of toric varieties and abelian varieties, and we will illustrate this conjecture by examples.",
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        "combined_title":"The Higgs category of a bordered surface, after Merlin Christ (Combinatorics seminar): Bernhard Keller --  Universit\u00e9 Paris Cit\u00e9",
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        "description":"Labardini-Fragoso's classical construction allows to associate an ice quiver with potential to a bordered surface.  The corresponding Higgs category (in the sense of Yilin Wu) categorifies the cluster algebra (with non invertible boundary coefficients) associated to the surface by Fomin--Shapiro--Thurston. In recent work, Merlin Christ has given a completely different description of this category as the \"1-periodic topological Fukaya category\". He obtains it by simplifying Haiden-Katzarkov-Kontsevich's construction of the topological Fukaya category associated with the surface. Our aim is to present Christ's construction and, if time permits, the ongoing project of extending it to cluster algebras appearing in higher Teichmuller theory.",
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