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start [2021/10/28 22:31] – kalinin0 | start [2023/12/05 11:48] – slavitya_gmail.com | ||
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- | PhD graduated: Kristin Shaw (December 2011), Lionel Lang (December 2014), [[http://mathcenter.spb.ru/nikaan/|Nikita Kalinin]] (December 2015), [[Mikhail Shkolnikov|Mikhail Shkolnikov]] (June 2017), | + | PhD graduated: Kristin Shaw (December 2011), Lionel Lang (December 2014), [[https://scholar.google.com/citations? |
Johannes Josi (February 2018). | Johannes Josi (February 2018). | ||
- | Current members: | + | Current members: Thomas Blomme, |
- | Alumni: Ivan Bazhov, Johan Bjorklund, Rémi Crétois, Yi-Ning Hsiao, Jens Forsgard, Maxim Karev, Ilya Karzhemanov, | + | Alumni: Ivan Bazhov, Johan Bjorklund, Rémi Crétois, Weronika Czerniawska, Yi-Ning Hsiao, Jens Forsgard, Maxim Karev, Ilya Karzhemanov, |
We organize several seminars: | We organize several seminars: | ||
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[[fables|Séminaire " | [[fables|Séminaire " | ||
- | pre-2017 [[batelle|Battelle Seminar]] and | + | pre-2017 |
[[working|Tropical working group Seminar]]. | [[working|Tropical working group Seminar]]. | ||
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====== Seminars and conferences ====== | ====== Seminars and conferences ====== | ||
- | Seminar | + | ---- |
+ | Francesca Carocci (Genève), Dec 8, 14h30, Salle 06-13 | ||
+ | |||
+ | "Degenerations of Limit linear series" | ||
+ | |||
+ | Maps to projective space are given by basepoint-free linear series, thus these are key to understanding the extrinsic geometry of algebraic curves. | ||
+ | How does a linear series degenerate when the underlying curve degenerates and becomes nodal? | ||
+ | Eisenbud and Harris gave a satisfactory answer to this question when the nodal curve is of compact type. Eisenbud-Harris' | ||
+ | I will report on a joint work in progress with Lucaq Battistella and Jonathan Wise, in which we review this question from a moduli-theoretic and logarithmic perspective. The logarithmic prospective helps understanding the rich polyhedral and combinatorial structures underlying degenerations of linear series. These are linked with matroids and buildings. | ||
+ | |||
+ | ---- | ||
+ | Diego MATESSI (Milano), Dec 4, 15h, Salle 06-13 | ||
+ | |||
+ | " | ||
+ | |||
+ | I will present some work in progress jont with Arthur Renaudineau. | ||
+ | |||
+ | |||
+ | ---- | ||
+ | Thomas Blomme, université de Genève, Thursday, Nov 9, 16h15, Room 1-15. | ||
+ | |||
+ | " | ||
+ | |||
+ | Bielliptic surfaces were classified by Bagnera & de Francis more than a century ago. They form a family spread into seven subfamilies of the Kodaira-Enriques surface classification which have nearly trivial canonical class in the sense that it is non-zero, but torsion. Thus, the virtual dimension of the moduli space of curves only depends on the genus, and contrarily to abelian and K3 surfaces, it yields non-zero invariants. In this talk we'll focus on some techniques to compute GW invariants of these surfaces along with some regularity properties. | ||
+ | |||
+ | ---- | ||
+ | Antoine Toussaint, université de Genève, Monday, Oct 23, at 15h, Salle 06-13 | ||
| | ||
- | Nov 1, 16h15. Room 06-13 | + | "Real Structures of Phase Tropical Surfaces" |
- | + | ||
- | | + | Phase tropical surfaces can appear as a limit of a 1-parameter family of smooth complex algebraic surfaces. A phase tropical surface admits a stratified fibration over a smooth tropical surface. We study the real structures compatible with this fibration and give a description in terms of tropical cohomology. As an application, we deduce combinatorial criteria for the type of a real structure of a phase tropical surface. Time permitting, we will also discuss the connection with Renaudineau and Shaw's spectral sequence and Kalinin' |
- | + | ||
- | **Markov numbers in number theory, topology, algebraic | + | ---- |
+ | Ozgur CEYHAN (University of Luxembourg), | ||
+ | |||
+ | " | ||
+ | |||
+ | The backpropagation algorithm and its variations are the primary training method of multi-layered neural networks. The backpropagation is a recursive gradient descent technique that works on large matrices. | ||
+ | This talk explores backpropagation via tropical linear algebra and introduces multi-layered tropical neural networks as universal approximators. After giving a tropical reformulation of the backpropagation algorithm, we verify the algorithmic complexity is substantially lower than the usual backpropagation as the tropical arithmetic is free of the complexity of usual multiplication. | ||
+ | |||
+ | ---- | ||
+ | |||
+ | | ||
+ | |||
+ | “Universal polynomials for coefficients of tropical refined invariant in genus 0” | ||
+ | |||
+ | In enumerative | ||
- | I will explain how the Markov numbers arise in different mathematical | + | Tropical refined invariants are polynomials resulting of a weird way of counting curves, but linked with the previous enumerations. When the genus is fixed, Brugallé |
- | disciplines, and sketch the links. A recent contribution | + | |
- | [[fables|Séminaire " | ||
+ | [[symplectic| seminar page]] | ||
====== Geneva-Neuchâtel Symplectic Geometry Seminar ====== | ====== Geneva-Neuchâtel Symplectic Geometry Seminar ====== | ||
Ligne 61: | Ligne 100: | ||
- | If you want to register, say me (Misha Shkolnikov). | + | You should be approved user to edit pages. |
You can write here something. (Create a small web page about you, write about you interests, explain tropical philosophy of our group, upload articles etc). | You can write here something. (Create a small web page about you, write about you interests, explain tropical philosophy of our group, upload articles etc). | ||
start.txt · Dernière modification : 2024/09/22 16:29 de thomas2