Monday,
20151019
16:15

Raum 404, Eckerstr. 1
Emanuel Scheidegger:
Analytic continuation of hypergeometric functions
The moduli space of certain oneparameter families of CalabiYau manifolds is governed by the (generalized) hypergeometric differential equation. We discuss the analytic continuation of its solutions. 
Monday,
20151026
16:15

Raum 404, Eckerstr. 1
Cornelius Schröder:
Laminationen von hyperbolischen Mannigfaltigkeiten durch minimierende Hyperflächen 
Monday,
20151102
16:15

Raum 404, Eckerstr. 1
Prof. Dr. Johannes Ebert (Münster):
Positive scalar curvature and stable homotopy theory 
Monday,
20151109
16:15

Raum 404, Eckerstr. 1
Prof. Dr. Stefan Kebekus (Freiburg):
t.b.a., part I 
Monday,
20151116
16:15

Raum 404, Eckerstr. 1
Prof. Dr. Stefan Kebekus (Freiburg):
t.b.a., part II 
Monday,
20151130
16:15

Raum 404, Eckerstr. 1
Dr. O. Fabert:
Symplectic topology of classical field theories via polysaturated models
Hamiltonian PDE, arising e.g. in classical field theories and quantum mechanics, can be viewed as infinitedimensional Hamiltonian systems. In this talk I show that analogues of the classical rigidity results from symplectic topology, such as Gromov's nonsqueezing theorem and the Arnold conjecture, also hold for these Hamiltonian PDE. In order to establish the existence of the relevant holomorphic curves, I use the surprising fact from logic that each separable symplectic Hilbert space is contained in a symplectic vector space which behaves as if it were finitedimensional. As a concrete result I show (without experiment !) that every BoseEinstein condensate, which is constrained to a circle and annoyed by a timeperiodic exterior potential, has infinitely many timeperiodic quantum states. 
Monday,
20151207
16:15

Raum 404, Eckerstr. 1
Shane Kelly (Freiburg):
cdhdifferential forms 
Monday,
20151214
16:15

Raum 404, Eckerstr. 1
Paul Norbury (Melbourne):
LandauGinzburg superpotential and topological recursion
One construction of Frobenius manifolds, originating in Saito's work on singularities, uses a LandauGinzburg superpotential. This is a family of curves equipped with meromorphic functions whose critical values are canonical coordinates on the Frobenius manifold. Conversely, Dubrovin showed how to produce any semisimple conformal Frobenius manifold this way. In joint work with DuninBarkowski, Orantin, Popolitov and Shadrin we apply topological recursion to the superpotential and prove that it retrieves the Frobenius manifold. This is useful in both directions  it tells us more about the Frobenius manifold and more about topological recursion. 
Monday,
20151221
16:15

Raum 404, Eckerstr. 1
Annette HuberKlawitter:
Differential forms in algebraic geometry – a new perspective in the singular case 
Monday,
20160118
16:1517:15

Raum 404, Eckerstr. 1
Florian Beck :
Hitchin and CalabiYau integrable systems 
Monday,
20160208
16:15

Raum 404, Eckerstr. 1
Benjamin Häublein:
Regularität von Laminationen der Kodimension 1 
Monday,
20160222
16:15

Raum 404, Eckerstr. 1
Motohico Mulase (UC Davis):
Quantization of Hitchin spectral curves and Gopers
There are particularly nice holomorphic Lagrangian subvarieties in the moduli space of Higgs pairs on a compact Riemann surface, called Hitchin sections. Physicist Gaiotto conjectured that there should be a canonical procedure to quantize the Hitchin spectral curves of the Higgs pairs on this Lagrangian into a family of holomorphic connections, called "opers," on the same Riemann surface. Recently this conjecture has been solved in a joint work by DumitrescuFredricksonKydonakisMazzeoMulaseNeitzke. In this talk a holomorphic construction of the conjectured opers will be given. We will see that the quantum deformation parameter, the Planck constant, is identified as the coordinate of a sheaf cohomology group naturally associated with the Hitchin section. 