Amir Dzambic (Christian-Albrechts-Universität zu Kiel)
Lattices of minimal co-volume in some Lie groups of higher rank abstract
Abstract:
The question of identifying the lattices (i.e. discrete subgroups of finiteco-volume) of minimal co-volume in Lie groups has a long history start-ing with the work of C.-L. Siegel who showed that the (2,3,7)-trianglegroup is the unique lattice (up to conjugation) of minimal co-volume inthe special linear group PSL2(R). By a recent result of F. Thilmanya similar uniqueness result holds for the group PSLn(R) with n > 2,where the minimal co-volume lattice is (a conjugate of) PSLn(Z). Sim-ilar, partly weaker, results are known for other (simple) Lie groups bythe work of many mathematicians such as Gehring-Martin, Belolipetsky,Belolipetski- Emery, Emery-Stover, Emery-Kim.In my talk I would like to report on the joint project with K. Holmand R. Köhl on minimal co-volume lattices in the (split) symplecticgroup. If the time permits I will also briefly discuss a related ques-tion on minimal co-volume irreducible lattices in non-simple Lie groupssuch as PSL2(R)n.
10:20 • Université de Fribourg, 0.05 PER23
Pim Spelier (Leiden University)
Log gluing log curves and log cohomological field theories abstract
Abstract:
The gluing maps on the moduli spaces Mbar_{g,n} have played a crucial role in the intersection theory of Mbar_{g,n}, for example playing a key part in the definition of its tautological ring and of cohomological field theories. In the last few years, interpreting Mbar_{g,n} as a logarithmic space has also been an incredibly useful tool for understanding classical invariants, such as the double ramification (DR) cycle. However, joining these two concepts has been proven difficult, as the gluing maps are not logarithmic and hence the log structure and the gluing do not interact. In this talk I will explain the DR cycle, explain the difficulty in log gluing, and present a definition of log gluing. This also allows for the definition of log cohomological field theories, and in particular we find that the log DR cycle is a log cohomological field theory.This talk is based on joint work with David Holmes (arxiv:2308.01099). No previous knowledge of DR cycles or log geometry is assumed.
13:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Theodore Drivas (Stony Brook University)
Abstract:
<p>We will discuss aspects of the global picture of 2D fluids. Steady states, deterioration of regularity for time dependent solutions as well as for the Lagrangian flowmap, as well as conjectural pictures about the weak-* attractor and generic behavior by Shnirelman and Sverak. </p><p><strong>Notice the special time!</strong></p>
15:15 • Universität Basel, Online via Zoom
Pedro Boavida de Brito (Instituto Superior Técnico, University of Lisbon)
Torus tricks and configuration spaces abstract
Abstract:
Given a topological embedding (i.e. injective continuous map), evaluation on finite subsets defines a map between configuration spaces which is coherent as we vary cardinalities. It turns out that, if the codimension is at least three, no homotopically information is lost in this process. This is in stark contrast to the situation in codimension zero, as shown by Krannich-Kupers. I will discuss some constructions and ideas involved in showing the high-codimension result, notably, a configuration space version of a torus trick from classical geometric topology. This is joint work with Michael Weiss.
15:45 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room G 43
Julia Wolf (University of Cambridge)
Abstract:
In this talk we will come at this question from two different angles: first, from the viewpoint of model theory, a subject in which for nearly half a century the notion of stability has played a central role in describing tame behaviour; secondly, from the perspective of combinatorics, where so-called regularity decompositions have enjoyed a similar level of prominence in a range of finitary settings, with remarkable applications.In recent years, these two fundamental notions have been shown to interact in interesting ways. In particular, it has been shown that mathematical objects that are stable in the model-theoretic sense admit particularly well-behaved regularity decompositions. In this talk we will explore this fruitful interplay in the context of both finite graphs and subsets of abelian groups.To the extent that time permits, I will go on to describe recent joint work with Caroline Terry (The Ohio State University), in which we develop a higher-arity generalisation of stability that implies (and in some cases characterises) the existence of particularly pleasant higher-order regularity decompositions.Registration requested: https://forms.gle/C1hzHfSHWnYDRakM9
16:15 • EPF Lausanne, Bernoulli Center
Dr. Dmitry Batenkov (Tel Aviv University)
Super-resolution of sparse measures: recent advances abstract
Abstract:
The inverse problem of computational super-resolution is to recover fine features of a signal from bandlimited and noisy data. Despite long history of the question and its fundamental importance in science and engineering, relatively little is known regarding optimal accuracy of reconstructing the high resolution signal components, and how to attain it with tractable algorithms.In this talk I will describe recent progress on deriving optimal methods for super-resolving sparse sums of Dirac masses, a popular model in numerous applications such as spectral estimation, direction of arrival, imaging of point sources, and sampling signals below the Nyquist rate. Time permitting, I will also discuss generalizations of the theory and algorithms in several directions.
16:30 • ETH Zentrum, Rämistrasse 101, Zürich, Building HG, Room E 1.2
Daniela Portillo del Valle (Universität Zürich, Switzerland)
Working group step-reinforced random walks: On the distribution of the limiting velocity
17:15 • UZH Irchel, Winterthurerstrasse 190, Zürich, Building Y27, Room H12