fables

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Les deux révisions précédentes Révision précédente Prochaine révision | Révision précédente | ||

fables [2020/01/12 23:23] weronika |
fables [2021/12/18 22:44] (Version actuelle) kalinin0 |
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The normal starting time of this seminar is 16.30 on Monday. | The normal starting time of this seminar is 16.30 on Monday. | ||

+ | ---- | ||

+ | Monday, Dec, 20th, 16h15 - 18h15 | ||

+ | | ||

+ | **On the asymptotics of Arakelov invariants** | ||

+ | We will discuss the asymptotics of invariants of Riemann | ||

+ | surfaces motivated by Arakelov theory. These invariants play a | ||

+ | fundamental role in bounds for the number of geometric torsion points on | ||

+ | curves. We will show that their asymptotic behaviour in families of | ||

+ | degenerating Riemann surfaces is controlled by their tropical counterparts. | ||

+ | ---- | ||

+ | Fri 17.12.2021, 13h30, room 6-13 | ||

+ | | ||

+ | Andras Szenes | ||

+ | |||

+ | **Diagonal bases and wall-crossings in moduli spaces of vector bundle** | ||

+ | |||

+ | The idea of the calculation of the Hilbert function of the moduli spaces of vector bundles on Riemann surfaces goes back to the works of Michael Thaddeus in the early 90’s. | ||

+ | I describe joint work with Olga Trapeznikova where this plan is carried out in detail, which uses only basic tools of Geometric Invariant Theory and a combinatorial/ | ||

+ | ---- | ||

+ | Nov 1, 16h15. Room 06-13 | ||

+ | | ||

+ | Vasily Golyshev (Moscow, Bures-sur-Yvette) | ||

+ | | ||

+ | |||

+ | **Markov numbers in number theory, topology, algebraic geometry, and differential equations** | ||

+ | |||

+ | I will explain how the Markov numbers arise in different mathematical | ||

+ | disciplines, | ||

+ | |||

+ | ---- | ||

+ | |||

+ | 2020, Wednesday, May 20, 16:00 (CEST), Virtual seminar, Lionel Lang (Stockholm University) | ||

+ | | ||

+ | https:// | ||

+ | Meeting ID: 592 872 9514 Password: (the number of lines on a cubic surface) | ||

+ | | ||

+ | **Co-amoebas, | ||

+ | |||

+ | In this joint work in progress with J. Forsgård, we study the topology of maps P:(\C*)^2 \to \C given by Laurent polynomials P(z, | ||

+ | For specific P, we observed that the topology of the corresponding map can be described in terms of the co-amoeba of a generic fiber. When the latter co-amoeba is maximal, it contains a dimer (a particularly nice graph) whose fundamental cycles corresponds to the vanishing cycles of the map P. For general P, the existence of maximal co-amoebas is widely open. In the meantime, we can bypass co-amoebas, going directly to dimers using a construction of Goncharov-Kenyon and obtain a virtual correspondence between fundamental cycles and vanishing cycles. | ||

+ | In this talk, we will discuss how this (virtual) correspondence can be used to compute the monodromy of the map P. | ||

+ | |||

+ | ---- | ||

+ | |||

+ | |||

+ | 2020, Tuesday, April 7, 17:00, Virtual seminar (EDGE seminar) Grigory Mikhalkin (Geneva) | ||

+ | | ||

+ | https:// | ||

+ | Meeting ID: 870 554 816 Password: 014504 | ||

+ | |||

+ | **Area in real K3-surfaces** | ||

+ | |||

+ | Real locus of a K3-surfaces is a multicomponent topological surface. The canonical class provides an area form on these components (well defined up to multiplication by a scalar). In the talk we'll explore inequalities on total areas of different components as well a link between such inequalities and a class of real algebraic curves called simple Harnack curves. Based on a joint work with Ilia Itenberg. | ||

+ | |||

+ | ---- | ||

+ | |||

+ | 2020, Monday, March 31, 17:00, Virtual seminar, Vladimir Fock (Strasbourg) | ||

+ | |||

+ | https:// | ||

+ | Meeting ID: 737 573 471 | ||

+ | | ||

+ | **Higher measured laminations and tropical curves** | ||

+ | |||

+ | We shall define a notion of a higher lamination - a graph embedded | ||

+ | into a Riemann surface with edges coloured by generators of an affine | ||

+ | Weyl group. This notion generalises the notion of the ordinary | ||

+ | integral measured lamination and on the other hand of a tropical | ||

+ | curve and can be constructed out of a integral Lagrangian submanifold | ||

+ | of the cotangent bundle. | ||

+ | |||

+ | ---- | ||

+ | |||

+ | 2020, Monday, March 16, 16:30, Battelle, Alexander Veselov (Loughborough University)[POSTPONED] | ||

+ | |||

+ | **On integrability, | ||

+ | |||

+ | |||

+ | I will start with a short review of Liouville integrability in relation with Thurston’s geometrization programme, | ||

+ | using as the main example the geodesic flows on the 3-folds with SL(2, | ||

+ | |||

+ | A particular case of such 3-folds the modular quotient SL(2, | ||

+ | |||

+ | The talk is partly based on a recent joint work with Alexey Bolsinov and Yiru Ye. | ||

+ | |||

+ | ---- | ||

2020, Monday, February 17, 16:30, Battelle, Karim Adiprasito | 2020, Monday, February 17, 16:30, Battelle, Karim Adiprasito |

fables.1578867838.txt.gz · Dernière modification: 2020/01/12 23:23 de weronika