Tuesday, 30 September, 2014
Yuri Berest, Giovanni Felder, Sasha Patotski, Ajay C. Ramadoss, Thomas Willwacher

We study the derived representation scheme DRep_n(A) parametrizing the n-dimensional representations of an associative algebra A over a field of characteristic zero. We show that the homology of...

Thursday, 18 September, 2014
Hugo Duminil-Copin, Dmitry Ioffe, Yvan Velenik

We consider translationally-invariant percolation models on Z^d satisfying the finite energy and the FKG properties. We provide explicit upper bounds on the probability of having two distinct...

Friday, 12 September, 2014
Hugo Duminil-Copin, Ioan Manolescu

We prove that random-cluster models with q larger than 1 on a variety of planar lattices have a sharp phase transition, that is that there exists some parameter p_c below which the model...

Monday, 8 September, 2014
Rahul Pandharipande, Jake P. Solomon, Ran J. Tessler

We define a theory of descendent integration on the moduli spaces of stable pointed disks. The descendent integrals are proved to be coefficients of the τ-function of an open KdV heirarchy. A...

Saturday, 6 September, 2014
Leonardo Aguirre, Giovanni Felder, Alexander P. Veselov

Gaudin hamiltonians form families of r-dimensional abelian Lie subalgebras of the holonomy Lie algebra of the arrangement of reflection hyperplanes of a Coxeter group of rank r. We consider the...

Friday, 5 September, 2014
Santiago Codesido, Alba Grassi, Marcos Mariño

In this paper, we show that, in ABJ(M) theories with N=8 supersymmetry, the non-perturbative sector of the partition function on the three-sphere simplifies drastically. Due to this...

Thursday, 4 September, 2014
Matthijs Hogervorst, Slava Rychkov, Balt van Rees

We show how to perform accurate, nonperturbative and controlled calculations in quantum field theory in d dimensions. We use the Truncated Conformal Space Approach (TCSA), a Hamiltonian...

Wednesday, 3 September, 2014
Jørgen Ellegaard Andersen, Rinat Kashaev

We lay down a general framework for how to construct a Topological Quantum Field Theory $Z_A$ defined on shaped triangulations of orientable 3-manifolds from any Pontryagin self-dual locally...

Wednesday, 3 September, 2014
Anna Beliakova, Zaur Guliyev, Kazuo Habiro, Aaron D. Lauda

Categorification is a process of lifting structures to a higher categorical level. The original structure can then be recovered by means of the so-called "decategorification" functor. Algebras...

Saturday, 30 August, 2014
Victor Tourtchine, Thomas Willwacher

It is shown that the operad maps E_n→E_{n+k} are formal over the reals for k≥2 and non-formal for k=1. Furthermore we compute the cohomology of the deformation complex of the operad maps E_n→E_{...

Thursday, 14 August, 2014
Julian Adamek, Ruth Durrer, Martin Kunz

We present a framework for general relativistic N-body simulations in the regime of weak gravitational fields. In this approach, Einstein's equations are expanded in terms of metric...

Friday, 11 July, 2014
Marco Gualtieri, Songhao Li, Alvaro Pelayo, Tudor Ratiu

We give a generalization of toric symplectic geometry to Poisson manifolds which are symplectic away from a collection of hypersurfaces forming a normal crossing configuration. We introduce the...