June - August 2007
Organizers: Simon Gindikin, Bernhard Krötz
Description: Integral Geometry has its origins in the 19th century where one studies integral transforms of geometric nature. An important later example is the Radon transform, which starting with the inversion formula led to remarkable explicit formulas. In trying to generalize this explicit analysis one was looking for more general geometric structures where something like this can be done. As often in mathematics large symmetry is a great help and the most symmetric objects are Lie groups, here complex semi simple Lie groups, and related homogeneous spaces. This way representation theory entered in a very natural way and plays a central role in the modern development.
The aim of the program was to bring together experts from the different mathematical areas which are involved into the subject to stimulate discussions and new research. To educate the younger people (and not only the younger) several lecture series by outstanding mathematicians were organized.
The program was originally planned at the Max Planck Institute on a smaller scale, which in particular meant that senior mathematicians dominated. The foundation of the Hausdorff Institute allowed to enlarge the program significantly by mainly inviting additional young researchers of very high level.
No. |
Author(s) |
Title |
Preprint |
Publication |
| 2007b01 | Aizenbud, Avraham; Gourevitch, Dmitry | Multiplicity one theorem for (GLn+1(R),GLn(R)) | 0707.2363 | MR2529937 |
| 2007b02 | Aizenbud, Avraham; Gourevitch, Dmitry; Sayag, Eitan | (GL(n+1,F),GL(n,F)) is a Gelfand pair for any local field F | 0709.1273 | MR2474319 |
| 2007b03 | Alekseev, Anton; Torossian, Charles | On triviality of the Kashiwara-Vergne problem for quadratic Lie algebras | 0802.4300 | MR2561029 |
| 2007b04 | Baklouti, Ali; Kédim, Imed; Yoshino, Taro | On the deformation space of Clifford-Klein forms of Heisenberg groups | MR2441852 | |
| 2007b05 | Baklouti, Ali; Kédim, Imed | On non-abelian discontinuous subgroups acting on exponential solvable homogeneous spaces | MR2609023 | |
| 2007b06 | Chinta, Gautam; Jorgenson, Jay; Karlsson, Anders | Zeta functions, heat kernels and spectral asymptotics on degenerating families of discrete tori | 0806.2014 | MR2666579 |
| 2007b07 | Deitmar, Anton | Harmonic analysis over adelic spaces | 0708.0322 | |
| 2007b08 | Deitmar, Anton | Higher order invariants in the case of compact quotients | 1003.1844 | MR2753884 |
| 2007b09 | Faraut, Jacques | Asymptotics of spherical functions for large rank: an introduction | MR2885074 | |
| 2007b10 | Ion, Bogdan | Generalized exponents of small representations. I | 0904.2483 | MR2540703 |
| 2007b11 | Jorgenson, J.; Kramer, J. | A relation involving Rankin-Selberg L-functions of cusp forms and Maass forms | MR2885066 | |
| 2007b12 | Kaneyuki, Soji | On the linearity of causal automorphism of symmetric cones | MR3077286 | |
| 2007b13 | Kobayashi, Toshiyuki; Mano, Gen | The Schrodinger model for the minimal representation of the indefinite orthogonal group O(p,q) | 0712.1769 | MR2858535 |
| 2007b14 | Opdam, Eric; Solleveld, Maarten | Homological algebra for affine Hecke algebras | 0708.1372 | MR2493620 |
| 2007b15 | Slupinski, Marcus; Stanton, Robert J. | The special symplectic structure of binary cubics | 0906.4309 | MR2885072 |
| 2007b16 | Weissman, Martin H. | Metaplectic tori over local fields | 0802.4086 | MR2485462 |
| 2007b17 | Aizenbud, Avraham; Gourevitch, Dmitry; Rallis, Stephen; Schiffmann, Gérard | Multiplicity one theorems | 0709.4215 | MR2680495 |
| 2007b18 | Bertram, Wolfgang; Didry, Manon | Symmetric bundles and representations of Lie triple systems | 0710.1543 | MR2602990 |
| 2007b19 | Bertram, Wolfgang | Is there a Jordan geometry underlying quantum physics? | 0801.3069 | MR2475762 |
| 2007b20 | Clerc, Jean-Louis; Kobayashi, Toshiyuki; Ørsted, Bent; Pevzner, Michael | Generalized Bernstein-Reznikov integrals | 0906.2874 | MR2753827 |
| 2007b21 | Clerc, Jean-Louis; Ørsted, Bent | Conformally invariant trilinear forms on the sphere | 1001.2851 | MR2961841 |
| 2007b22 | Geatti, Laura; Iannuzzi, Andrea | Univalence of equivariant Riemann domains over the complexifications of rank-one Riemannian symmetric spaces | math/0612169 | MR2442995 |
| 2007b23 | Howe, Roger; Lee, Soo Teck | Spherical harmonics on Grassmannians | - | MR2600534 |
| 2007b24 | Ion, Bogdan | Generalized exponents of small representations. II | 0904.2487 | MR2801176 |
| 2007b25 | Kaneyuki, Soji | Automorphism groups of causal Makarevich spaces | - | MR2917697 |
| 2007b26 | Nishiyama, Kyo | Resolution of null fiber and conormal bundles on the Lagrangian Grassmannian | math/0701764 | MR2576290 |
| 2007b27 | Ciubotaru, Dan; Nishiyama, Kyo; Trapa, Peter E. | Regular orbits of symmetric subgroups on partial flag varieties | 0903.1039 | MR2885068 |
| 2007b28 | Offen, Omer; Sayag, Eitan | Uniqueness and disjointness of Klyachko models | 0711.2884 | MR2414223 |
| 2007b29 | Pevzner, Michael | Covariant quantization: spectral analysis versus deformation theory | - | MR2465566 |
| 2007b30 | Gourevitch, Dmitry; Sahi, Siddhartha; Sayag, Eitan | Invariant functionals on Speh representations | 1405.2713 | MR3416438 |
Name |
Affiliation |
Senior Participants |
|
| Ali Baklouti | |
| Erik P. van den Ban | |
| Joseph Bernstein | |
| Wolfgang Bertram | |
| Jean-Louis Clerc | |
| Anton Deitmar | |
| Patrick Delorme | |
| Michel Duflo | |
| Jacques Faraut | |
| Gregor Fels | |
| Laura Geatti | |
| Roger Howe | |
| Jay Jørgenson | |
| Soji Kaneyuki | |
| Toshiyuki Kobayashi | |
| Erez Lapid | |
| Soo Teck Lee | |
| Toshihiko Matsuki | |
| E.K. Narayanan | |
| Yurii Neretin | |
| Kyo Nishiyama | |
| Hiroshi Oda | |
| Eric Opdam | |
| Toshio Oshima | |
| Angela Pasquale | |
| Yannis Petridis | |
| Misha Pevzner | |
| Ilya Piatetski-Shapiro | |
| Andre Reznikov | |
| Boris Rubin | |
| Siddhartha Sahi | |
| Henrik Schlichtkrull | |
| Wilfried Schmid | |
| Marcus Slupinski | |
| Robert Stanton | |
| Sundaram Thangavelu | |
| Charles Torossian | |
| Peter Trapa | |
| Akshay Venkatesh | |
| Michele Vergne | |
| Kari Vilonen | |
| Genkai Zhang | |
| Bent Ørsted | |
Junior Participants |
|
| Avraham Aizenbud | |
| Ralf Beckmann | |
| Arzu Boysal | |
| Eliot Brenner | |
| Ping-Shun Chan | |
| Gautam Chinta | |
| Brooke Feigon | |
| Tobias Finis | |
| Dmitry Gourevitch | |
| Volker Heiermann | |
| Bogdan Ion | |
| Matvei Libine | |
| Dan Lu | |
| Michel van Meer | |
| Omer Offen | |
| Michael Otto | |
| Hadi Salmasian | |
| Eitan Sayag | |
| Bruno Schapira | |
| Maarten Solleveld | |
| Sofiane Souaifi | |
| Szilard Szabo | |
| Guillaume Tomasini | |
| Martin Weismann | |
| Taro Yoshino |
These lists do not include people who only participated in the conference.