Aktuelle Vorträge und Veranstaltungen

Wintersemester 2019/20

Do, 21. November 2019 Darmstadt-Frankfurt Seminar: The paramodular conjecture (Forschungsseminar Algebra und Geometrie)

  • Riccardo Zuffetti
    Paramodular forms

  • Priyanka Majumder
    Yoshida lifting

    Zeit und Ort: 15:00-18:00 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

Mi, 27. November 2019  Frankfurter Seminar - Kolloquium des Instituts für Mathematik

  • Ginkgo-Seminar - Vorkolloquium für Doktoranden, Post-Docs und interessierte Studierende
    Zeit und Ort: 15.00 Uhr (c.t.) im Raum 711 (gr.), Robert-Mayerstr. 10
    tba

    - Tee 16.15 - 16.45 Uhr -
  • Prof. Dr. Mohab Safey El Din (Sorbonne Université)
    On solving polynomial systems over the reals and applications in robotics
    Zeit und Ort: 16:45 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

    Polynomial systems arise in many areas of engineering and computer sciences such as signal theory, cryptography, biology and robotics. In this talk, we will focus on the analysis of kinematic singularities in robotics, which is a fundamental problem in mechanism design. This analysis boils down to a core algorithmic issue in effective real algebraic geometry: given a polynomial system with real coefficients, how to count the number of connected components of their real solution set (or answer connectivity queries on this set)? We will review recent (mathematical and algorithmic) results which yield practically efficient algorithms to solve these problems using computer algebra methods and report on their implementations which can already solve concrete problems in robotics.

Do, 28. November 2019 Oberseminar Algebra und Geometrie

  • Prof. Dr. Vladimir Lazic (Universität des Saarlandes)
    The Minimal Model Program for uniruled pairs
    Zeit und Ort: 14:00-16:00 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

    I will discuss recent progress on the MMP for pairs, where the underlying variety is uniruled: the existence of minimal models, the Nonvanishing and Abundance conjectures. This is obtained partly in joint works with Nikolaos Tsakanikas and Fanjun Meng.

Mi, 4. Dezember 2019 Oberseminar Algebra und Geometrie

  • Dr. Mirko Mauri (MPI Bonn)
    TBA
    Zeit und Ort: 16:00-17:00 Uhr im Raum 711 (kl.), Robert-Mayerstr. 10

Do, 12. Dezember 2019 Oberseminar Algebra und Geometrie

  • Dr. Lorenzo Fantini (Goethe-Universität Frankfurt)
    Non-archimedean links of singularities
    Zeit und Ort: 14:00-16:00 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

    I will discuss several instances in which valuations play an important role in the study of singularities and of their resolutions, a context where Berkovich's theory of non-archimedean analytic spaces can be extremely fruitful. The main character of this (quite informal!) talk will be a non-archimedean version of the link of a singularity. In particular, if time allows I will explain how this objects provides a concrete bridge between resolution of singularities of surfaces over a field k and semi-stable reduction of curves over k((t)).

Mi, 18. Dezember 2019 Oberseminar Algebra und Geometrie

  • Dr. Chiara Damiolini (Princeton University)
    TBA
    Zeit und Ort: 16:00-17:00 Uhr im Raum 711 (kl.), Robert-Mayerstr. 10

Do, 19. Dezember 2019 Oberseminar Algebra und Geometrie

  • Prof. Dr. Mariá Angélica Cueto (Ohio State University)
    TBA
    Zeit und Ort: 14:15-15:15 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

Mi, 15. Januar 2020  Frankfurter Seminar - Kolloquium des Instituts für Mathematik

  • Ginkgo-Seminar - Vorkolloquium für Doktoranden, Post-Docs und interessierte Studierende
    Zeit und Ort: 15.00 Uhr (c.t.) im Raum 711 (gr.), Robert-Mayerstr. 10
    tba

    - Tee 16.15 - 16.45 Uhr -
  • Prof. Dr. Hansjörg Geiges (Universität zu Köln)
    tba
    Zeit und Ort: 16:45 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

Do, 16. Januar 2020 Darmstadt-Frankfurt Seminar: The paramodular conjecture (Forschungsseminar Algebra und Geometrie)

  • Dr. Michalis Neururer
    Special cases of paramodularity

  • tba
    Galois representations associated to Siegel modular forms


    Zeit und Ort: 15:00-18:00 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

Fr, 24. Januar 2020 TGiF-Tropical Geometry in Frankfurt - Second meeting in Winter Semester

           Schedule

  • Prof. Dr. Diane Maclagan (University of Warwick):
    tba.
    Zeit und Ort: 13:00-17:00 Uhr im Raum tba.
  • Prof. Dr. Oliver Lorscheid (IMPA/MPI Bonn):
    tba.
    Zeit und Ort: 13:00-17:00 Uhr im Raum tba.
  • Dr. Karl Christ (Bar-Ilan University):
    tba.
    Zeit und Ort: 13:00-17:00 Uhr im Raum tba.

Mi, 29. Januar 2020  Frankfurter Seminar - Kolloquium des Instituts für Mathematik

  • Ginkgo-Seminar - Vorkolloquium für Doktoranden, Post-Docs und interessierte Studierende
    Zeit und Ort: 15.00 Uhr (c.t.) im Raum 711 (gr.), Robert-Mayerstr. 10
    tba

    - Tee 16.15 - 16.45 Uhr -
  • Prof. Dr. Felix Otto (MPI Leipzig)
    tba
    Zeit und Ort: 16:45 Uhr im Raum 711 (gr.), Robert-Mayer-Str. 10

Do, 6. Februar 2019 Oberseminar Algebra und Geometrie

  • Prof. Dr. Cecília Salgado (MPI Bonn/Universidade Federal do Rio de Janeiro)
    tba
    Zeit und Ort: 14:00-16:00 Uhr im Raum 711 (gr.), Robert-Mayer-Str. 10

Do, 13. Februar 2020 Darmstadt-Frankfurt Seminar: The paramodular conjecture (Forschungsseminar Algebra und Geometrie)

  • Thomas Driscoll-Spittler
    Computing Hecke eigenvalues of Siegel modular forms

  • tba
    Paramodularity at level N = 277 and beyond


    Zeit und Ort: 15:00-18:00 Uhr im Raum 711 (gr.), Robert-Mayer-Str. 10

Bereits gehaltene Vorträge im WiSe 2019/20

Do, 31. Oktober 2019 TGiF-Tropical Geometry in Frankfurt - First meeting in Winter Semester

           Schedule

  • Prof. Dr. Sam Payne (University of Texas, Austin):
    tba.
    Zeit und Ort: 14:00-18:00 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10
  • Enrica Mazzon (MPI Bonn):
    Tropical affine manifolds in mirror symmetry
    Zeit und Ort: 14:00-18:00 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

    Abstract: Mirror symmetry is a fast-moving research area at the boundary between mathematics and theoretical physics. Originated from observations in string theory, it suggests that certain geometrical objects (complex Calabi-Yau manifolds) should come in pairs, in the sense that each of them has a mirror partner and the two share interesting geometrical properties. In this talk I will introduce some notions relating mirror symmetry to tropical geometry, inspired by the work of Kontsevich-Soibelman and Gross-Siebert. In particular, I will focus on the construction of a so-called “tropical affine manifold” using methods of non-archimedean geometry, and the guiding example will be the case of K3 surfaces and some hyper-Kähler varieties. This is based on a joint work with Morgan Brown and a work in progress with Léonard Pille-Schneider.

  • Christoph Goldner (Tübingen):
    Tropical mirror symmetry for ExP^1
    Zeit und Ort: 14:00-18:00 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

    We recall some results of tropical mirror symmetry that relate the generating series of tropical Gromov-Witten invariants of an elliptic curve E to sums of Feynman integrals. After that, we present an approach to tropical mirror symmetry in case of ExP^1. The approach is based on the floor decomposition of tropical curves which is a degeneration technique that allows us to apply the results of the elliptic curve case. The new results are joint work with Janko Böhm and Hannah Markwig.

Mi, 30. Oktober 2019  Frankfurter Seminar - Kolloquium des Instituts für Mathematik

  • Ginkgo-Seminar - Vorkolloquium für Doktoranden, Post-Docs und interessierte Studierende
    Felix Röhrle (Goethe-Universität Frankfurt)
    Moduli Spaces of Tropical Curves
    Zeit und Ort: 15.00 Uhr (c.t.) im Raum 711 (gr.), Robert-Mayerstr. 10

    - Tee 16.15 - 16.45 Uhr -

  • Prof. Dr. Sam Payne (University of Texas, Austin)
    Tropical curves, graph homology, and top weight cohomology of M_g
    Zeit und Ort: 16:45 Uhr im Raum 711 (gr.), Robert-Mayerstr. 10

    I will discuss the topology of a space of stable tropical curves of genus g with volume 1. The reduced rational homology of this space is canonically identified with the top weight cohomology of M_g and also with the homology of Kontsevich's graph complex. As one application, we show that H^{4g-6}(M_g) is nonzero for infinitely many g. This disproves a recent conjecture of Church, Farb, and Putman as well as an older, more general conjecture of Kontsevich. We also give an independent proof of a recent theorem of Willwacher, that homology of the graph complex vanishes in negative degrees, using the identifications above and known vanishing results for M_g. And we prove a formula for the S_n-equivariant Euler characteristic of M_{g,n}, which was conjectured by Zagier.

Mi, 23. Oktober 2019 Oberseminar Algebra und Geometrie

  • Dr. Giulio Bresciani (FU Berlin)
    On the (birational) section conjecture over finitely generated fields
    Zeit und Ort: 16:00-17:00 Uhr im Raum 711 (kl.), Robert-Mayerstr. 10

    We prove that, if the section conjecture holds over number fields, then it holds for every curve X over a field finitely generated over Q with a non-constant morphism to an abelian variety which is defined over a number field. Our method also gives an independent proof of the recent result by Saidi-Tyler of the fact that the birational section conjecture over number fields implies it over fields finitely generated over Q.