cherubino

Brauer groups of moduli of hyperelliptic curves, via cohomological invariants – Roberto Pirisi (KTH Stockholm)

We use the theory of cohomological invariants for algebraic stacks to completely describe the Brauer group of the moduli stacks $H_g$ of genus $g$ hyperellitic curves over fields of characteristic zero, and the prime-to-$\mathsf{char}(k)$ part in…

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Topological realization over $\mathbb{C}((t))$ via Kato-Nakayama spaces – Mattia Talpo (Università di Pisa)

I will report on some joint work with Piotr Achinger, about a “Betti realization” functor for varieties over the formal punctured disk $\mathsf{Spec}\mathbb{C}((t))$, i.e. defined by polynomials with coefficients in the field of formal Laurent…

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Codimension two cycles and unramified third cohomology for certain products of two varieties – Jean-Louis Colliot-Thelene (Université de Paris-Saclay)

We investigate the integral Tate conjecture for 1-cycles on the product of a curve and a surface over a finite field, under the assumption that the surface is geometrically $\mathsf{CH}_0$-trivial. By this we mean that over any algebraically closed…

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The Beauville-Voisin conjecture for $\mathsf{Hilb}(K3)$ and the Virasoro algebra – Andrei Negut (MIT)

We give a geometric representation theory proof of a mild version of the Beauville-Voisin Conjecture for Hilbert schemes of $K3$ surfaces, namely the injectivity of the cycle map restricted to the subring of Chow generated by tautological classes.…

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Triangulated categories of log-motives over a field – Federico Binda (Università di Milano Statale)

In this talk, I will give an overview of the construction of a triangulated category of motives for log smooth log schemes over a field $k$, based on the notion of finite log correspondence, in analogy to Voevodsky’s $\mathsf{DM}(k)$. The affine…

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