Conferences - Seminars

27FEB
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  10:15-11:15 CIB - BI A0 448

The study of the equations defining projective varieties, and the relations (i.e. syzygies) amongst them has an old and venerable history. First considered around 1850 in the work of Sylvester, the computation of syzygies has remains a central topic in algebra to this day. Much later on, it was realised that syzygies arise naturally in ... Read more about ""Syzygies of curves""
By Assistant Prof. Michael Kemeny (Stanford University)
27FEB
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  14:15-15:15 CIB - BI A0 448

The study of vector bundles on algebraic varieties is a classical topic at the intersection of geometry and commutative algebra. In its algebraic form it is the study of finitely generated projective modules over commutative rings. There are many long-standing conjectures and open questions about algebraic vector bundles, such as: is every topological vector bundle ... Read more about ""Vector bundles on algebraic varieties""
By Dr. Marc Hoyois (Massachusetts Institute of Technology)
27FEB
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  14:15-15:30 GC A1 416

Rips filtrations over a finite metric space and their corresponding persistent homology are prominent methods in Topological Data Analysis to summarize the ``shape'' of data. For finite metric space X and distance r the traditional Rips complex with parameter r is the flag complex whose vertices are the points in X and whose edges are ... Read more about "Generalizations of the Rips filtration for quasi-metric spaces with corresponding stability results"
By Kate Turner (EPFL)
28FEB
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  09:15-10:15 CIB - BI A0 448

Geometric group theory involves the study of groups as geometric objects, often via their (well-behaved) actions on (tractable) spaces, from which information about the group -- algebraic, geometric, algorithmic, etc. -- can be decocted. A major theme is that this method is particularly powerful when the spaces in question exhibit features of negative or nonpositive ... Read more about ""Generalised negative curvature and the geometry of groups""
By Dr. Mark Hagen (University of Cambridge)
28FEB
  11:15-12:15 CIB - BI A0 448

The Zimmer Program is a collection of conjectures and questions regarding actions of lattices in higher-rank simple Lie groups on compact manifolds. For instance, it is conjectured that all non-trivial volume-preserving actions are built from algebraic examples using standard constructions. In particular, on manifolds whose dimension is below the dimension of all algebraic examples, Zimmer’s ... Read more about ""Lattice actions on manifolds and recent progress in the Zimmer program""
By L. E. Dickson Instructor Dr. Aaron Brown (University of Chicago)
28FEB
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  14:15-15:15 CIB - BI A0 448

The transport equation describes the evolution of a distribution of particles moving along the flow of a prescribed smooth vector field. An accurate description of its solutions, even when the smoothness assumption is dropped, is motivated by several applications, among which the study of kinetic equations such as the Vlasov-Poisson system. Given a vector field ... Read more about ""The structure of transport equations and the Vlasov-Poisson system""
By Dr. Maria Colombo (ETHZ - ITS)
01MAR
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  09:15-10:15 CIB - BI A0 448

I will present in this talk some probabilistics model studied in physics, which are ill-posed from an analytic point of view due to a dramatic lack of regularity and where the classical tools of stochastic analysis fail to be applied. The aim of this talk is to present an approach to overcome this kind of ... Read more about ""Dynamic beyond criticality""
By Dr. Khalil Chouk (Technische Universität Berlin)
01MAR
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  11:15-12:15 CIB - BI A0 448

We present a brief overview of the regularity theory for free boundaries in obstacle problems. We describe how a monotonicity formula of Almgren plays a central role in the study of the regularity of the free boundary in some of these problems. Finally, we explain new strategies which we have recently developed to deal with ... Read more about ""Regularity of free boundaries in obstacle problems""
By R. H. Bing Instructor Dr. Xavier Ros-Oton (University of Texas ...
01MAR
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  14:15-15:15 CIB - BI A0 448

The Hard Lefschetz Theorem's importance extends far beyond algebraic geometry. In particular, many deceptively simple combinatorial conjectures seem depend on this mysterious theorem, but are only known to be true if the associated varieties satisfy the Lefschetz theorem by virtue of the Kaehler package. For instance, Gruenbaum conjectured that for any simplicial d-complex X embedded ... Read more about ""Beyond positivity""
By Dr. Karim Adiprasito (Hebrew University Jerusalem)
01MAR
  15:30-16:30 CH B3 31

Abstract: We show that the (twisted) derived category recognizes the three types of Enriques surfaces in characteristic 2. Read more about "(Twisted) Derived category of Enriques Surfaces in characteristic 2"
By Sofia Tirabassi (University of Bergen)
01MAR
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  16:30-17:30 INF 213

Nous établissons un critère d'ergodicité ainsi que trois critères de finitude pour les mesures de Gibbs sur les variétés non compactes à courbure négative pincée. Ces critères sont inspirés des critères de Sarig de récurrence et récurrence positive pour les sous-décalage sur un alphabet infini, mais leur preuve ne repose pas sur le codage. En ... Read more about "Finitude des mesures de Gibbs sur les variétés non compactes à courbure négative."
By Vincent Pit
02MAR
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  10:15-11:15 CIB - BI A0 448

The theory of complex multiplication (CM theory) has found numerous applications in both modern number theory, arithmetic geometry and mathematical cryptology. In this talk, I will give a basic background on the BSD conjecture and outline the main ideas of the recent proof of the conjectural formula for elliptic curves of analytic rank 1. I ... Read more about ""CM-theoretic Aspects of the Birch and Swinnerton-Dyer Conjecture and Curve-Based Cryptography""
By Prof. Dimitar Jetchev (EPFL)
02MAR
  15:15-16:15 CO 015

Vinogradov in 1937 proved the ternary version of the Goldbach conjecture, that every large odd integer can be written as a sum of three primes. In this talk, I will start with a historical account on some related problems and the underlying methods, and then describe a few new results related to the ternary Goldbach ... Read more about "Around Vinogradov's theorem"
By Fernando Shao (University of Oxford)
03MAR
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  11:00-12:00 Campus Biotech, B1.06 (lakeside)

Biologically inspired machine learning algorithms known as artificial neural networks have been around since the 1950s, but have rapidly gained popularity over the last decade due to increases in computational power and the sheer volume of data available. The simplest forms of these, feed-forward neural networks, have two major shortcomings: they require input of fixed ... Read more about "An exposition of memory-augmented artificial neural networks"
By William Mycroft (Sheffield)