The Working Group in Harmonic Analysis is a weekly meeting of the research teams of: Its aim is to present both research works and surveys of mathematical areas of common interest.

Meetings

Every Tuesday morning from 09.45AM to 11.15AM in the seminar room of block G (ground floor), campus Kirchberg.

Organizer

Please feel free to contact Sanjoy Pusti for any questions and if you want to be added to the mailing list.

Upcoming sessions

Past sessions

19/11/2013
Janne Günther, University of Luxembourg
C*-algebras with norm controlled dual limits
29/10/2013 (from 09:55 AM to 11:25 AM)
Sanjoy Pusti, University of Luxembourg
Beurling's theorem for Dunkl transform.
22/10/2013 (from 09:55 AM to 11:25 AM)
Martin Olbrich, University of Luxembourg
Cusp forms on semisimple Lie groups, Part-2.
15/10/2013 (from 09:55 AM to 11:25 AM)
Martin Olbrich, University of Luxembourg
Cusp forms on semisimple Lie groups, Part-1.
08/10/2013 (from 09:55 AM to 11:25 AM)
Jean Ludwig, University of Metz
Kirillov's conjecture for nilpotent Lie groups.
01/10/2013 (from 10:15 AM to 11:45 AM)
Jean Ludwig, University of Metz
Restriction of irreducible representations to closed subgroups in the context of nilpotent Lie groups.
25/06/2013
Carine Molitor-Braun, University of Luxembourg
Surjectivity of the Kirillov map; Representations and operator kernels
18/06/2013
Jean Ludwig, University of Metz
The topology of the dual space of a nilpotent Lie group
11/06/2013
Carine Molitor-Braun, University of Luxembourg
The Kirillov map
04/06/2013
Carine Molitor-Braun, University of Luxembourg
Irreducibility of induced representations of connected, simply connected, nilpotent Lie groups..
28/05/2013
Carine Molitor-Braun, University of Luxembourg
Induced representations: Independence of the choice of the Polarisations.
28/05/2013
Sanjoy Pusti, University of Luxembourg
Coadjoint orbits of the Heisenberg group.
14/05/2013
Sanjoy Pusti, University of Luxembourg
Induced representation on nilpotnet Lie groups.
07/05/2013
Carine Molitor-Braun and Sébastien Guex, University of Luxembourg
Haar measure, invariant measures on quotient spaces, polarizations.
30/04/2013
Carine Molitor-Braun, University of Luxembourg
Coordinates of the first and second kind, Haar measure, translation invariant measure on a quotient
I will prove some results on coordinates of the second kind. This will allow us to express the Haar measure, as well in coordinates of the first kind and in coordinates of the second kind. Moreover, we will construct a translation invariant measure on a quotient of the form G/H, where G is a connected, simply connected, nilpotent Lie group and H is a connected Lie subgroup of G.
30/04/2013
Janne Günther, University of Luxembourg
Coordinates of the first and second kind.
I will give the definition of the coordinates of the first and second kind of elements of connected, simply connected Lie groups. Afterwards, I will show by the example of the Heisenberg group how to use them.
23/04/2013
Janne Günther (University of Luxembourg)
Construction of a Lie group starting with a Lie algebra.
First, I will give a short example of upper triangular matrices and how one can create a Lie group out of a Lie algebra in this case. Then I will formulate the main theorem of my talk about the construction of a Lie group from a nilpotent Lie algebra and I will give the proof for it.
16/04/2013
Carine Molitor-Braun, University of Luxembourg
A short introduction to Lie groups and vector groups.
I will give a short intuitive introduction to Lie groups and try to avoid, as much as possible, technical details. Then I will focus on vector groups: These are Lie groups whose underlying manifold is a finite dimensional real vector space (identified with some R^n), whose multiplication is described by polynomial functions and such that the exponential function between the Lie algebra and the Lie group coincides with the identity on R^n. Such vector groups are connected, simply connected, nilpotent Lie groups for which the development of the Lie group theory is of course much easier than in the general case. A further talk will show that conversely, every connected, simply connected, nilpotent Lie group may be realized as a vector group over its Lie algebra.
09/04/2013
Lucas Fresse, University of Nancy
Partial flag varieties and nilpotent elements.
In geometric representation theory, an important fact is the relation between the flag variety of a reductive linear algebraic group (i.e. the quotient G/B by a Borel subgroup) and the nilpotent cone of the Lie algebra Lie(G). The most classical result based on this relation is the construction of Springer representations. In this talk, we will rather emphasize the relation between partial flag varieties (i.e. quotients G/P by parabolic subgroups) and the nilpotent cone. Specifically, we will study a family of subsets of partial flag varieties attached to nilpotent elements. We will emphasize their role in representation theory, their role in the geometric study of nilpotent orbit closures, and certain of their geometric properties.
26/03/2013
Sébastien Guex
Applications of Engel's Theorem and Kirillov's Lemma.
By means of Engel's Theorem, we will show that any nilpotent Lie algebra admit "nice" basis, and that nilpotency is preserved when passing to subalgebras or quotient algebras. Finally, we will discuss Kirillov's Lemma, a much needed tool for the structure of nilpotent Lie algebras.
19/03/2013
Sébastien Guex
Nilpotent Lie algebras, Part 1.
After introducing the necessary preliminaries, I will give a detailed proof of Engel's Theorem, and discuss about some of its applications.
11/01/2013 (from 11.00 to 11.50, room B17)
Sébastien Guex
Ergodic theorems for certain Banach algebras associated to locally compact groups.
18/12/2012 (from 9.30 to 10.20, room C02)
Pierre Clare, Penn State USA
New models for principal series and intertwining operators.
18/12/2012 (from 11.30 to 12.20, room C11)
Yuriy Savchuk, University of Leipzig
Integrable representations and C^*-envelopes of a class of quantum algebras.
18/12/2012 (from 14.00 to 14.50, room C02)
Job Kuit, University of Copenhagen
Cusp forms for reductive symmetric spaces.
04/12/2012
Salem Ben Said, University of Nancy
Generalized Bernstein-Reznikov trilinear forms for rank one semisimple Lie groups.
27/11/2012 (from 9.45 to 12.00)
Andrea Santi, University of Luxembourg
Classification of maximal prolongations of super Poincare algebras.
20/11/2012
Sanjoy Pusti, University of Luxembourg
Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of root system BC, part 2.
13/11/2012
Sanjoy Pusti, University of Luxembourg
Positive convolution structure for a class of Heckman-Opdam hypergeometric functions of root system BC, part 1.
23/10/2012
Andrea Altomani, University of Luxembourg
Homogeneous CR manifolds of tube type: the semisimple case, part 2.
16/10/2012
Andrea Altomani, University of Luxembourg
Homogeneous CR manifolds of tube type: the semisimple case, part 1.
09/10/2012
Ebrahim Samei, University of Saskatchewan
Fourier and Fourier-Stieltjes algebras and their properties.
02/10/2012
Martin Olbrich, University of Luxembourg
Quaternionic geometries and equivariant Lie algebras, revisited, part 2.
25/09/2012
Martin Olbrich, University of Luxembourg
Quaternionic geometries and equivariant Lie algebras, revisited, part 1.
22/05/2012
Andrea Santi, University of Luxembourg
On the automorphism group of extended Poincare structures, part 2.
15/05/2012
Andrea Altomani, University of Luxembourg
On the automorphism group of extended Poincare structures, part 1.
08/05/2012
Jean Ludwig, University of Metz
Intertwining operators for irreducible representations of exponential Lie groups.
24/04/2012
Jean-Philippe Michel, University of Luxembourg
Minimal representation of O(p+1,q+1) and symmetries of the Laplacian.
17/04/2012
Martin Olbrich, University of Luxembourg
An introduction to Selberg zeta functions.
10/04/2012
Carine Molitor-Braun, University of Luxembourg
Spectral synthesis and ideals of a given hull, part 2.
27/03/2012
Carine Molitor-Braun, University of Luxembourg
Spectral synthesis and ideals of a given hull, part 1.
06/03/2012
Sergey Akbarov
Operators in Hilbert space H as functions on a Kahlerian manifold P(H): functional representation of operator algebras by R.Cirelli, A.Mania and L.Pizzocchero.
28/02/2012
Bing Kwan So, University of Luxembourg
The full calculus of pseudo-differential operators on boundary groupoids.
21/02/2012
Arnaud Brothier, University of Leuven
Von Neumann algebras, representation theory and equivalence relations.
13/12/2011
Martin Olbrich, University of Luxembourg
On Borel's density theorem.
06/12/2011
Simon Brain, University of Luxembourg
Compact Quantum Homogeneous Spaces via Noncommutative Geometry.
01/12/2011 (at 17.00, room B14)
Joachim Hilgert, University of Paderborn
Patterson-Sullivan distributions in higher rank.
29/11/2011
Andrea Altomani, University of Luxembourg
Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces, part 2.
22/11/2011
Marie-Amelie Lawn, University of Neuchatel
Isometric and CR pluriharmonic immersions of three dimensional CR manifolds in Euclidean spaces, part 1.
15/11/2011
Julia Kuznetsova, University of Luxembourg
Standard representations in application to duality of locally compact groups, part 2.
08/11/2011
Julia Kuznetsova, University of Luxembourg
Standard representations in application to duality of locally compact groups, part 1.
25/10/2011
Sanjoy Pusti, University of Luxembourg
Harmonic analysis on root systems: An introduction, part 2.
18/10/2011
Sanjoy Pusti, University of Luxembourg
Harmonic analysis on root systems: An introduction, part 1.
06/10/2011 (at 14.00)
Thomas Krantz, University of Luxembourg
Semi-simple symplectic extrinsic symmetric spaces, part 2.
04/10/2011
Thomas Krantz, University of Luxembourg
Semi-simple symplectic extrinsic symmetric spaces, part 1.
24/05/2011 (room A02)
Andrea Santi, University of Luxembourg
The geometry of supergravity, part 2.
17/05/2011 (room A02)
Andrea Santi, University of Luxembourg
The geometry of supergravity, part 1.
12/04/2011 (room A02)
Andrea Altomani, University of Luxembourg
On the automorphism group of real quadrics in C^n, part 2.
05/04/2011
Andrea Altomani, University of Luxembourg
On the automorphism group of real quadrics in C^n, part 1.
29/03/2011 (room A02)
Bing Kwan So, University of Luxembourg
Groupoids and Singular pseudo-Differential Calculus, part 2.
22/03/2011 (room A02)
Bing Kwan So, University of Luxembourg
Groupoids and Singular pseudo-Differential Calculus, part 1.
15/03/2011
Julia Kuznetsova, University of Luxembourg
A duality for a class of compact quantum groups.
08/03/2011
Sanjoy Pusti, University of Luxembourg
Positive definite functions on semisimple Lie groups, part 2.
01/03/2011
Sanjoy Pusti, University of Luxembourg
Positive definite functions on semisimple Lie groups, part 1.
22/02/2011
Jean Ludwig, University of Metz
Mackey's imprimitivity theorem, part 2.
15/02/2011 (room B13)
Jean Ludwig, University of Metz
Mackey's imprimitivity theorem, part 1.
27/01/2011 (room B13)
Carine Molitor-Braun, University of Luxembourg
Nilpotent Lie groups, part 2.
25/01/2011 (room B13)
Carine Molitor-Braun, University of Luxembourg
Nilpotent Lie groups, part 1.
14/12/2010
Martin Olbrich, University of Luxembourg
Symmetric spaces, quaternionic geometries, and equivariant Lie algebras, part 2.
07/12/2010
Martin Olbrich, University of Luxembourg
Symmetric spaces, quaternionic geometries, and equivariant Lie algebras, part 1.
16/11/2010
Andrea Santi, University of Luxembourg
The infinite groups of Lie and Cartan, part 2.
09/11/2010
Andrea Santi, University of Luxembourg
The infinite groups of Lie and Cartan, part 1.
26/10/2010
Andrea Altomani, University of Luxembourg
Tanaka's theory for differential systems, part 2.
19/10/2010
Andrea Altomani, University of Luxembourg
Tanaka's theory for differential systems, part 1.
12/10/2010
Martin Olbrich, University of Luxembourg
Discrete series representations and harmonic forms on symmetric spaces.
05/10/2010
Julia Kuznetsova, University of Luxembourg
Non measurable products and automatic continuity of group representations, part 2.
28/09/2010
Julia Kuznetsova, University of Luxembourg
Non measurable products and automatic continuity of group representations, part 1.