Oberseminar Algebra, Zahlentheorie und Diskrete Mathematik
Wintersemester 2024/25
Donnerstags, 14:15-15:15 Uhr
Seminarraum A410 im Welfenschloss (Hauptgebäude, Welfengarten 1)
Datum | Vortragende/r | Vortragstitel |
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Do 24.10.2024 | Guillaume Tahar | Simplicial arrangements and the geometry of planar cubic curves (online) In their solution to the orchard-planting problem, Green and Tao established a structure theorem which proves that in a line arrangement in the real projective plane with few double points, most lines are tangent to the dual curve of a cubic curve. We provide geometric arguments to prove that in the case of a simplicial arrangement, the aforementioned cubic curve cannot be irreducible. It follows that Grünbaum's conjectural asymptotic classification of simplicial arrangements holds under the additional hypothesis of a linear bound on the number of double points. This is a joint work with Dmitri Panov. |
Do 21.11.2024 | Anca Macinic | Freeness-type properties and combinatorics of line arrangements Abstract: We study the relation between freeness-adjacent properties and combinatorics, for arrangements of complex projective lines, via Ziegler restrictions. |
Fr 22.11.2024 | Opening RTG Colloquium (in Berlin) | |
Do 28.11.2024 | Seoyoung Kim (Göttingen) | Certain families of K3 surfaces and their modularity Abstract: We start with a double sextic family of K3 surfaces with four parameters with Picard number 16. Then by geometric reduction (top-to-bottom) processes, we obtain three, two and one parameter families of K3 surfaces of Picard number 17, 18 and 19 respectively. All these families turn out to be of hypergeometric type in the sense that their Picard--Fuch differential equations are given by hypergeometric or Heun functions. We will study the geometry of two parameter families in detail. |
Do 5.12.2024 | Jakob Glas (LUH) | |
Do 12.12.2024 | Nuno Arala (LUH) | |
Do 19.12.2024 | Leon Eickhoff (LUH) | |
Do 9.1.2025 | Christopher Frei (Graz) | |
Do 16.1.2025 | ||
Do 23.1.2025 | Göttingen-Hannover Number Theory Workshop 15:00: Zhizhong Huang (CAS, Beijing) 16:30: Fabian Gundlach (Paderborn) | |
Do 30.1.2025 |