Publications related to Equivariant embeddings of trees into hyperbolic spaces

Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups

Let

Y

be a simply connected simple algebraic group over an algebraically closed field

k

of characteristic

p

and let

X

be a maximal closed connected simple subgroup of

Y

. Excluding some small primes in specific cases, we classify the

p

-restrict ...

EPFL2019

Linear Flavour-Wave Theory of SU(N) Lattice Models with Arbitrary Irreducible Representations

Francisco Hyunkyu Kim

This thesis explores various approaches of studying the long-range colour order of antiferromagnetic SU(N) Heisenberg models with the linear flavour-wave theory (LFWT). The LFWT is an extension of the well-known SU(2) spin-wave theory to SU(N), and this se ...

EPFL2019

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Yash Lodha

Ghys and Sergiescu proved in the 1980s that Thompson's group T, and hence F, admits actions by C-infinity diffeomorphisms of the circle. They proved that the standard actions of these groups are topologically conjugate to a group of C-infinity diffeomorphi ...

GEOMETRY & TOPOLOGY PUBLICATIONS2019

Heat flows on hyperbolic spaces

Marius Christopher Lemm

In this paper we develop new methods for studying the convergence problem for the heat flow on negatively curved spaces and prove that any quasiconformal map of the sphere Sn−1,n≥3, can be extended to the n-dimensional hyperbolic space such that the heat f ...

2018

Local Representation Theory and Simple Groups

Donna Testerman, Gunter Malle, Radha Kessar

The book contains extended versions of seven short lecture courses given during a semester programme on Local Representation Theory and Simple Groups, held at the Centre Interfacultaire Bernoulli of the EPF Lausanne. These courses focused on modular repres ...

European Mathematical Society2018

Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry

Frédéric Mila, Pierre Marcel Nataf, Kianna Wan

We present a method for the exact diagonalization of the SU(N) Heisenberg interaction Hamiltonian using Young tableaus to work directly in each irreducible representation of the global SU(N) group. This generalized scheme is applicable to chains consisting ...

2017

Minimal entropy for uniform lattices in product of hyperbolic planes

Louis Georges Eric Merlin

Let M be a quotient of H-2 x ... x H-2 (product of hyperbolic planes) by a uniform lattice of. PSL2(R))(n). We prove that, among metrics of M of prescribed volume, the sum of hyperbolic metrics has minimal volume entropy. ...

European Mathematical Soc2016

Exact diagonalization of HeisenbergSU(N)chains in the fully symmetric and antisymmetric representations

Frédéric Mila, Pierre Marcel Nataf

Motivated by recent experimental progress in the context of ultracold multicolor fermionic atoms in optical lattices, we have developed a method to exactly diagonalize the Heisenberg SU(N) Hamiltonian with several particles per site living in a fully symme ...

2016

Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Fabio Nobile, Daniel Kressner, Christine Tobler, Rajesh Kumar

Gaussian random fields are widely used as building blocks for modeling stochastic processes. This paper is concerned with the efficient representation of d-point correlations for such fields, which in turn enables the representation of more general stochas ...

2015

Amenable hyperbolic groups

Nicolas Monod

We give a complete characterization of the locally compact groups that are nonelementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover gi ...

European Mathematical Soc2015

Equivariant embeddings of trees into hyperbolic spaces

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Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups

Linear Flavour-Wave Theory of SU(N) Lattice Models with Arbitrary Irreducible Representations

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Heat flows on hyperbolic spaces

Local Representation Theory and Simple Groups

Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry

Minimal entropy for uniform lattices in product of hyperbolic planes

Exact diagonalization of HeisenbergSU(N)chains in the fully symmetric and antisymmetric representations

Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Amenable hyperbolic groups

Low-rank tensor approximation for high-order correlation functions of Gaussian random fields

Heat flows on hyperbolic spaces

Linear Flavour-Wave Theory of SU(N) Lattice Models with Arbitrary Irreducible Representations

Hyperbolicity as an obstruction to smoothability for one-dimensional actions

Maximal subgroups acting with two composition factors on irreducible representations of exceptional algebraic groups

Exact diagonalization of SU( N ) Heisenberg and Affleck-Kennedy-Lieb-Tasaki chains using the full SU( N ) symmetry

Local Representation Theory and Simple Groups

Minimal entropy for uniform lattices in product of hyperbolic planes

Exact diagonalization of HeisenbergSU(N)chains in the fully symmetric and antisymmetric representations

Amenable hyperbolic groups