Javier Fresán (Sorbonne Université)
E-functions and geometry
10:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Domenico Valloni
Title T.B.A.
14:15 • EPF Lausanne
Thomas Blomme (Genève)
Gromov-Witten invariants of bielliptic surfaces abstract
Abstract:
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 modulispace 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 sometechniques to compute GW invariants of these surfaces along with some regularity properties.
16:15 • Université de Genève, salle 1-15
Dr. David Mitrouskas (IST Austria)
The low-energy spectrum of the strongly coupled polaron abstract
Abstract:
The polaron model describes an electron interacting with a polarizable crystal which is modelled by a nonrelativistic continuous quantum field. If the interaction between the electron and the field is strong, it is known that the ground state energy is to leading order given by the ground state energy of the semiclassical polaron model, where the field is treated as a classical variable. In this talk, we give a detailed description of the full low-energy spectrum of the (confined) polaron by providing arbitrarily high corrections to the semiclassical energy. More precisely, we present an asymptotic series expansion for every low-energy eigenvalue in inverse powers of the coupling constant. Towards the end of the talk, we will discuss what is known about the low-energy spectrum of the non-confined translation-invariant polaron, in particular, the existence of excited bound states at fixed total momentum. The talk is based on joint works with M. Brooks, K. Mysliwy and R. Seiringer.
16:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 19.2
Ekaterina Eremenko (EEFilms und TU Berlin)
Presentation and screening of the movie "Math circles around the world" abstract
Abstract:
Every week, hundreds of children in different cities of the worldmeet to solve complex problems. Find out who they are, why they do it and how in the film "Math circles around the world." The filmscreening will be followed by a discussion about mathematical circles.
17:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 19.1
Prof. Dr. Andrea Macrina (University College London)
Arcade Processes for Informed Martingale Interpolation and Transport abstract
Abstract:
Arcade processes are a class of continuous stochastic processes that interpolate in a strong sense between zeros at fixed pre-specified times. Their additive randomization allows one to match any finite sequence of target random variables, indexed by the given fixed dates, on the whole probability space. The randomized arcade processes can thus be interpreted as a generalization of anticipative stochastic bridges. The filtrations generated by these processes are utilized to construct a class of martingales which interpolate between the given target random variables. These so-called filtered arcade martingales (FAMs) are almost-sure solutions to the martingale interpolation problem and reveal an underlying stochastic filtering structure. In the special case of conditionally Markov randomized arcade processes, the dynamics of FAMs are informed through Bayesian updating. FAMs can be connected to martingale optimal transport (MOT) by considering optimally coupled target random variables. Moreover, FAMs allow to formulate an information-based martingale optimal transport problem, which enables the introduction of noise in MOT, in a similar fashion to how Schrödinger\'s problem introduces noise in optimal transport. This information-based transport problem is concerned with selecting an optimal martingale coupling for the target random variables under the influence of the noise that is generated by an arcade process.
17:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Prof. Dr. Miquel Oliu Barton (Université Paris Dauphine)
Value positivity of matrix games abstract
Abstract:
Matrix games are the most basic problem in Game Theory, but robustness to small perturbations is not yet fully understood. A perturbed matrix game is one where the entries depend on a parameter which varies smoothly around zero. We introduce two new concepts: (a) value-positivity if, for every sufficiently small error, there is a strategy that guarantees the value of the error-free matrix game; and (b) uniformvalue-positivity if there exists a fixed strategy that guarantees, for every sufficiently small error, the value of the error-free matrix game. While the first concept captures the dependency of optimal strategies to small perturbations, the second naturally arises where the data is uncertain and a strategy is sought which remains optimal despite that uncertainty. In this paper, we provide explicit polynomial-time algorithms to solve these two problems for any polynomially perturbed matrix game. For (a), we further provide a functional form for the error-dependent optimal strategy. Last, we translate our results into robust solutions for LPs.
18:15 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43