The first retreat of the scond period of the SFB-TRR 195 takes place from Tuesday, 22nd to Friday, 25th March, in the Ebernburg in Bad Münster am Stein. The organisors are Claus Fieker (OSCAR program part), Max Horn (OSCAR program part), Gunter Malle (General program) and Michael Kunte (Organisation).
The main intention is to strengthen cooperation within SFB-TRR 195. Therefore, there will only be very few plenary lectures, instead all mathematical and all software focuses should be given enough opportunity to retreat and work together. In addition, there will be overview lectures for each mathematical focus and dedicated workshops concerning the OSCAR project. The overview lectures will show the status of the respective subprojects and their general embedding.
|I||Group and representation theory||survey talk / presentation||Meinolf Geck and Frank Lübeck|
|II||Number theory||Towards an Atlas of Orthogonal Discriminants||Thomas Breuer|
|III||Non-commutative algebra and free probability theory||Into the non-commutative: Topological Recursion Meets Free Probability||Roland Speicher|
|IV||Tropical and polyhedral geometry||Tropical curves||Dan Corey|
|V||Algebraic Geometry||On the computation of Cox rings of minimal models of symplectic linear quotients||Johannes Schmitt|
- Thomas Breuer’s talk: We report about the current status of and the methods used in the computation of the orthogonal discriminants
of absolutely irreducible orthogonal representations of even degree that are tabulated in the Atlas of Brauer Characters and the Atlas of Finite Groups.
- Roland Speicher’s talk: Besides some general information about the projects in the areas of non-commutative algebra and free probability theory I will report specifically about recent advances in project A14, where some of the main goals (rewriting combinatorial relations between moment and cumulant sequences into functional relations between corresponding generating power series; extension of free probability to higher genus) have recently been reached by the joint efforts of Gaëtan Borot, Séverin Charbonnier, Elba Garcia-Failde, Felix Leid, Sergey Shadrin.
- Dan Corey’s talk: I will give an overview of abstract tropical curves and their relation to degenerating families of algebraic curves. Then I will discuss Jacobians of tropical curves, the tropical Torelli theorem of Caporaso-Viviani and Su-Wagner, and tropical curves of hyperelliptic type. Time permitting, I will report on recent work (with Jordan Ellenberg and Wanlin Li) related to the Ceresa cycle and its tropical manifestation.
- Johnnes’ talk: For a finite symplectic reflection group G over the complex numbers acting on a vector space V, we are interested in a minimal model of the linear quotient V/G.
We describe an algorithm by Yamagishi (2018) for the computation of the Cox ring of this minimal model which does not require prior knowledge of the minimal model.
We remark on our current work of implementing this algorithm in OSCAR.
|Time||Tuesday 22nd Mar||Wednesday 23rd Mar||Thursday 24th Mar||Friday 25st Mar|
|9:00-9:30||Talk I||Talk III||Presentation additional projects|
|9:30-10:00||Talk I||Talk III||Unconscious Bias Talk|
|10:00-10:30||Coffee break||Coffee break||Unconscious Bias Talk|
|10:30-12:30||Group Work||Group work||Coffee break / Talk V /
|13:30-14:00||Welcome and Introducing new PI||Talk II|| Talk IV|
|14:00-14:30||Planing the group work||Talk II||Talk IV|
|14:30-15:00||Group work||Coffee break||Group work|
|15:00-15:30||Group work||Hiking Tour||Group work|
|15:30-16:00||Coffee Break||Hiking Tour||Coffee break|
|16:00-18:00||Group work||Hiking Tour||Group work|
|19:00||Wine tasting||Steering Committee Meeting|
We start at Tuesday, 22nd Mar, at 13:30, with the presentations at the Martin-Luther-Saal. The retreat ends after lunch on Friday, 25th. Here is a printable programm.
|Davide Cesare Veniani|
The registration deadline has expired.
The Ebernburg in Bad Münster am Stein can be easily reached by train (train station “Bad Münster am Stein”) or car from all main locations.
We follow the current regulations on the corona pandemic in Rhineland-Palatinate. Moreover we follow the 2G+-Regulation. This means that the retreat is only accessible to vaccinated and recovered people who have current negative rapid tests. The rapid test can be replaced by a recent booster vaccination. If you have cold symptoms, please refrain from participating.