Holomorphic differentials on Riemann surfaces give rise to flat metrics with singularities. They have been studied (as well as their moduli space) from many different perspectives and with diverse motivations: algebraic and arithmetic geometry of strata of differentials with fixed singularity type, enumerative questions (computation of volumes, statistics of saddle connections, intersection theory on the moduli space), dynamics (on flat surfaces, on Teichmüller space, etc.), relation with BPS structures in the physics of supersymmetric gauge theory, stability conditions and wall-crossing phenomena in homological algebra, etc.
The workshop (Wednesday 20 and Thursday 21) opens the second phase of the Kolleg Mathematik Physik Berlin. It will bring together experts whose research has been related in some way to holomorphic differentials.
This workshop will be followed on Friday 22 by the kick-off event for the new DFG-funded Research Training Group 2965 From geometry to numbers: moduli, Hodge theory and rational points established between the Humboldt-Universität zu Berlin and the Leibniz Universität Hannover.
The lecturers are:
- Gregorio Baldi (Institut de Mathématiques de Jussieu)
- Matteo Costantini (Universität Duisburg-Essen)
- Samuel Grushevsky (SCGP Stony Brook University)
- Fabian Haiden (SDU Odense)
- Carlos Matheus (École Polytechnique)
- Martin Möller (Goethe-Universität Frankfurt)
- Anja Randecker (tbc, Universität des Saarlandes)
- David Urbanik (IHES)
- Ivan Yakovlev (MPIM Bonn)
The lecturers for the scientific opening of the RTG are:
- Jarod Alper (University of Washington)
- Tim Browning (IST Austria)
- Soheyla Feyzbakhsh (Imperial College London)
- Rahul Pandharipande (ETH Zürich)
Registration for attendance is free but mandatory.
Venue for Wednesday & Thursday:
1.107, IRIS Adlershof, Zum Großen Windkanal 2, 12489 Berlin
Coffee breaks in Room 1.202
Venue for Friday:
1.013, Institut für Mathematik, Rudower Chaussee 25, 12489 Berlin
