Recent progress in generalized moonshine
Tuesday, 8.4.14, 14:15-15:15, Raum 404, Eckerstr. 1
Monstrous moonshine started in the 1970s, when McKay and some others found apparent numerical coincidences relating modular functions on the complex upper half plane and linear representations of the monster simple group. We now know that the numerical relationships that were initially seen can be explained by the existence of the monster vertex algebra. Later computations by Queen and Norton suggested that certain subgroups of the monster also yielded modular functions from their representation theory, and this was codified by Norton in his generalized moonshine conjecture. I will describe this conjecture, a mathematical interpretation arising from orbifold conformal field theory, and some recent progress.\n
Programmdiskussion
Monday, 28.4.14, 16:15-17:15, Raum 404, Eckerstr. 1
String-Topology
Monday, 12.5.14, 16:15-17:15, Raum 404, Eckerstr. 1
Der Satz von Poincare-Hopf für Laminationen
Monday, 19.5.14, 16:15-17:15, Raum 404, Eckerstr. 1
Smoothing theory on homology spheres and its application on Algebraic K-theory
Monday, 26.5.14, 16:15-17:15, Raum 404, Eckerstr. 1
Periodic orbits in cotangent bundles of non-compact manifolds
Monday, 2.6.14, 16:15-17:15, Raum 404, Eckerstr. 1
In this talk I will discuss some existence results for periodic orbits on fixed\nenergy levels of mechanical Hamiltonian systems. In particular, these\nenergy hypersurfaces are allowed to be non-compact.\nI will focus on the analytical and geometrical problems posed by the lack of \ncompactness and discuss advantages and limitations of our method of proof \n("linking"). This is joint work with T. Rot, J.B. van den Berg and R. Vandervorst.
Symmetries of N=4 non-linear sigma models
Thursday, 5.6.14, 12:00-13:00, Raum 404, Eckerstr. 1
Maaß-Formen
Monday, 23.6.14, 16:15-17:15, Raum 404, Eckerstr. 1
Applications of Morse theory to cuplength estimates in symplectic geometry
Monday, 30.6.14, 16:15-17:15, Raum 404, Eckerstr. 1
There are many estimates in symplectic geometry which provide a lower bound for the number of, e.g., periodic orbits of Hamiltonian systems or Hamiltonian chords of Lagrangian submanifolds.\nIn this talk, I will describe various Floer theories related to these estimates and sketch a Morse theoretic argument which can be applied to the Floer settings to give a unifoed proof of these estimates. Moreover, this argument is also applicable in other cases, where the corresponding cuplength estimates was not known before.
Aubry-Mather theory on manifolds
Monday, 7.7.14, 16:15-17:15, Raum 404, Eckerstr. 1
The real and the holomorphic Chern-Simons functional
Monday, 14.7.14, 16:15-17:15, Raum 404, Eckerstr. 1
The Mathieu group \(M_{24}\)
Monday, 21.7.14, 16:15-17:15, Raum 404, Eckerstr. 1
Sheaf-theoretic analogues of Mathai-Quillen forms
Thursday, 24.7.14, 12:00-13:00, Raum 404, Eckerstr. 1
In this talk we review certain generalizations of Mathai-Quillen forms.\nOrdinary Mathai-Quillen forms are representations of Thom classes, and\nplay an important role in topological field theories. We shall\ndiscuss analogues appearing in more recent pseudo-topological\nfield theories, involving representations of certain sheaf cohomology\nclasses which reduce to ordinary Mathai-Quillen forms in special cases.\nWe discuss some basic properties and make a few conjectures.
TBA
Monday, 28.7.14, 16:15-17:15, Raum 404, Eckerstr. 1
Some Interesting Aspects of a Simple Model of "Non-commutative Quantum Mechanics"
Monday, 25.8.14, 16:15-17:15, Raum 404, Eckerstr. 1
Recently there has been much interest in studying a two-dimensional model of quantum mechanics, where the two components of position, and possibly also momentum, are made non-commutative. The understanding here is that such a model might mimic a non-standard structure of space at very short distances. In this talk we discuss some group theoretical aspects of such a model and some generalized complex Hermite polynomials associated with it. \n\n