Oberseminar SoSe 25
Die Vorträge finden jeweils donnerstags um 16:45 Uhr im Raum WSC-N-U-3.05 (im Mathematikgebäude ) statt. Directions from the train station.
Der Tee findet ab 16:15 statt.
Alle Interessenten sind herzlich eingeladen!
The seminar takes place on Thursday, starting at 4:45pm. The duration of each talk is about 60 minutes.
Everybody who’s interested is welcome to join.
| 10.04.2025 | Luca Marannino (Paris Jussieu) | Anticyclotomic Iwasawa theory of modular forms at inert primes via diagonal classes |
| 17.04.2025 | N.N. | t.b.a. |
| 24.04.2025 | Alex Ivanov (Bochum) | Meromorphic vector bundles on the Fargues-Fontaine curve |
| 08.05.2025 | Immanuel Halupczok (HHU Düsseldorf) | Poincaré series and stratifications |
| 15.05.2025 | Angelina Zheng (Tübingen) | t.b.a. |
| 22.05.2025 | James Taylor (Padova) | t.b.a. |
| 05.06.2025 | Cécile Gachet (RUB) | t.b.a. |
| 12.06.2025 | reserviert | t.b.a. |
| 26.06.2025 | – | Symposium Düsseldorf-Essen-Wuppertal |
| 03.07.2025 | ALGANT Students | Thesis Rehearsal |
| 10.07.2025 | David Loeffler (UniDistance Brig) | t.b.a. |
| 17.07.2024 | N.N. | t.b.a. |
Abstracts
Luca Marannino: Anticyclotomic Iwasawa theory of modular forms at inert primes via diagonal classes
Abstract: In this talk, we outline an approach to the study of anticyclotomic Iwasawa theory of modular forms when the fixed prime p is inert in the relevant quadratic imaginary field. Following ideas of Castella-Do for the “p split” case, one can envisage a construction of an anticyclotomic Euler system arising from a suitable manipulation of certain Galois cohomology classes known as diagonal classes. We will report on this work in progress, trying to underline the main difficulties arising in the “p inert” setting.
Alexander Ivanov: Meromorphic vector bundles on the Fargues-Fontaine curve
Abstract: Recently, two different constructions of a geometric local Langlands category were given: the analytic construction of Fargues—Scholze and the schematic one of Hemo—Zhu (in progress). Motivated by the goal of finding a relation between these, we construct the stack of meromorphic vector bundles, which interpolates between the geometric objects on analytic and schematic sides. We sketch some of its geometric properties, e.g. how the Fargues—Scholze charts M_b naturally appear in it. This is joint work with Ian Gleason and Felix Zillinger.
Immanuel Halupczok: Poincaré series and stratifications
The Poincaré series $P_V(T)$ associated to a variety $V$ defined over $\mathbb Z$ is a formal power series which creates an interesting connection between arithmetic and geometric properties of $V$. On the one hand, it is defined in a purely arithmetic way: The coefficients of $P_V(T)$ are the numbers $\#V(\mathbb Z/p^r\mathbb Z)$ of $\mathbb Z/p^r\mathbb Z$-rational points of $V$, for some fixed prime $p$ and for $r$ running over $\mathbb N$. On the other hand, the series $P_V(T)$ is closely related to the singularities of $V$. For example, $P_V(T)$ can be computed using a resolution of singularities of $V$.
Instead of using a resolution of singularities, one can also study the singularities of $V$ using a suitable (e.g. “Whitney regular”) stratification of $V$. One would expect that such a stratification yields some precise information about $P_V(T)$, but one result one would hope for turns out to be false for Whitney regular stratifications. Instead, I will present a stronger notion of regularity for which that result becomes true. This is joint work with David Bradley-Williams.
In the talk, I will of course explain all the necessary background about Poincaré series and stratifications.