The All-Pairs Min-Cut problem (APMC) asks to compute the minimum
cut (or equivalently, the maximum flow) between all pairs of nodes
in a graph.1 The naive solution of making n^2 calls to a
single-pair min-cut algorithm was surpassed in 1961 by a...
Helicity is an invariant of divergence free vector fields on a
three-manifold. One of its fundamental properties is invariance
under volume preserving diffeomorphisms. Arnold, having derived an
ergodic interpretation of helicity as an asymptotic...
Conformal field theories in 3D are central to condensed-matter
and high-energy physics. Among them, critical gauge theories,
especially Chern-Simons-matter theories, stand out: They describe
transitions where one or both phases are topologically...
I will begin by motivating the study of invariant distances on
spaces of Legendrians. I will then discuss two main results:
(a) the construction of a new unbounded invariant distance on the
universal cover of many Legendrian isotopy classes ;
(b) the...
We construct the tame part of a split anticyclotomic Euler
system in a setting where local multiplicity one does not hold.
Instead of the traditional zeta integral approach, we prove the
existence of the necessary test vectors using a new method...
In many groups, the optimal diameter for the solutions of the
isoperimetric problem is asymptotically equivalent to the lower
bound coming from their cardinality; in this situation one says
that the Følner function is lossless with respect to the...
Zimmer proposed the study of higher-rank semisimple group
actions in the 1980's after showing certain rigidity results,
especially about associated cocycles in the measurable category. In
this talk, I will describe recent progress towards...
For closed symplectic manifolds, the Gromov width is among the
most fundamental symplectic capacities: it measures the size of the
largest embedded symplectic ball and is sensitive to the
perturbation of the symplectic forms. A natural question...
Schubert varieties are known to be Frobenius split in positive
characteristic by the work of Mehta and Ramanathan. More recently,
Bhatt showed that the full flag variety for GLn
is a splinter by entirely different methods. In this talk, we
will...
The fundamental group π1(X) is an important invariant of a
complex algebraic variety X. Despite its topological nature,
it is closely connected to the geometry of many algebraic
structures on X. In this talk I want to discuss two
elementary...
