François Delarue , Université Côte d'Azur Mean field control and games. Some prospects Giovedì 18 Aprile 2024, ore 14:00 aula U5 RATIO-3014 Dip di Matematica e Applicazioni - Università Milano - Bicocca |
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Corinna Ulcigrai, Institut für Mathematik - Universität Zürich Periodic surfaces and deterministic random walks: dynamics between geometry and probability Giovedì 21 Marzo 2024, ore 14:30 aula U5 RATIO-3014 Università Milano - Bicocca |
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Marc Levine, Universität Duisburg-Essen DT invariants of smooth projective threefolds: classical, quadratic and real Mercoledì 21 Febbraio 2024, ore 17:00 Sala di Rappresentanza del Dipartimento di Matematica di via Saldini |
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Abstract
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Let X be a smooth projective 3-fold over the complex
numbers. Following work of Thomas, Behrend-Fantechi, and others, one
has a virtual fundamental class in the Chow group of 0-cycles on the
Hilbert scheme of dimension 0, length n subschemes of X, the degree of
which is the nth Donaldson-Thomas invariant of X
Now take X over an arbitrary field k. We have developed a construction
of virtual fundamental classes with values in an arbitrary motivic
cohomology theory. An example of such, a ``quadratic'' analog of the
Chow groups, is the cohomology of the sheaf of Witt rings, which leads
to a refinement of the classical DT-invariants to quadratic
DT-invariants with values in the Witt ring of quadratic forms over k.
We will discuss some developments and conjectures for these refined DT
invariants, including some computations of the signature of these
invariants due to Anneloes Viergever. |
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Jiri Neustupa, Czech Academy of Sciences, Institute of Mathematics, Prague On steady solutions to the MHD equations with inhomogeneous generalized impermeability boundary conditions for the magnetic field Lunedì 19 Febbraio 2024, ore 11:30 Sala di Rappresentanza del Dipartimento di Matematica di via Saldini | |
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Alexander Kuznetsov, Steklov Institute, Mosca Categorical resolutions and categorical absorptions of singularities Giovedì 18 Gennaio 2024, ore 16:30 Aula 8, Dipartimento di Matematica, via Saldini |
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Alexander Volberg, Michigan State University Quantum learning via harmonic analysis on Boolean cube and cyclic groups Martedì 13 Giugno 2023, ore 16:30 precise Sala di Rappresentanza, Dipartimento di Matematica, Università di Milano |
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