### 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.