This workshop aims to bring together researchers in diverse flavors of local systems, as well as to provide a bridge for interested newcomers to jump on the topic. 

Invited speakers:

• Tomoyuki Abe (Tokyo),

• Marco D'Addezio (Strasbourg), 

• Hélène Esnault (Berlin), 

• Thomas Krämer (Chemnitz).

This workshop will consist of a lecture part and a research part.

In the lecture part: Tomoyuki Abe will give a mini-course on characteristic cycles in the setting of ℓ-torsion local systems.

In the research part: Marco D'Addezio, Hélène Esnault and Thomas Krämer will be our research mentors. Each of them will provide a project program, to be accomplished before the workshop by some selected participants. We will accept either individual volunteers, as well as small groups of friends (2∼3 people) who are willing to work together on one subproject. Each program will be carried out in roughly 5 talks during the workshop week. 

Registration Form *) **)

Registration deadline for mentees: February 28, 2026. Registration deadline for general audience: TBA. 

*) For those wishing to register as a group of mentees: please register individually and specify your teammates in the comments field at the end.

**) If you did not register before Feb 28 and now want to register for Esnault's projects, please first fill in the Registration Form, and then send an email to renfei@uni-wuppertal.de together with your writeups. The registration deadline for Esnault's mentees is March 15, 2026. Her projects are available via emails only.

News

• March 1: Due to unforeseeable circumstances, the announcement of the mentee list will be slightly delayed. The specific release time will be notified via email. Sorry for this!

• March 3: Due to unforeseeable circumstances, Michael Groechenig decided to withdraw his projects. Luckily, Hélène Esnault kindly offered to join our workshop as a new mentor. More details on her projects will be sent via an email afterwards. 

• March 5: Marco's mentees are fixed.

• March 7: Thomas' mentees are fixed.

• March 15: Hélène's  program is online.

• March 17:  Hélène's  mentees are fixed.

Research Programs

• Marco D'Addezio: Crystals and parabolicity conjecture. (Key words: crystal, p-divisible group, overconvergence, Tannakian category, abelian variety)

  • Subproject A: Isocrystals over formal schemes

Mentees: Oakley Edens / Alexandra Hoey / Dylan Pentland

• • Subproject B: Monodromy groups beyond constant slopes

Mentees: Jefferson Baudin / Léo Navarro Chafloque / Lucas Gerth

• Michael Groechenig:  The study of isocrystals via moduli stacks

  • Subproject C: p-adic topology on the set of isomorphism classes of isocrystals

  • Subproject D: Geometric properties of the Frobenius pullback on rigid-analytic stacks of isocrystals

• Thomas Krämer: From convolution to monodromy: Tannaka groups of perverse sheaves on abelian varieties

  • Subproject E: Explicit cohomology jump loci

Mentees: Dario Faro / Eduardo Mason / Irene Spelta / Carolina Tamborini 

• • Subproject F: Tannaka groups and monodromy

Mentees: Simon Pitte / Gabriel Ribeiro / Beat Zurbuchen

• Hélène Esnault: Around finiteness of the monodromy of local systems

  • Subproject G: Vidhu Adhihetty / Matthew Hase-Liu / Waleed Qaisar / Zhengze Xin

  • Subproject H: Julia Meng / Charlie Wu    

  • Subproject I: Poomima Belvotagi / Dimitri Dine

Q&A

How the Research Part runs:

Each mentor will provide a project program, consisting of several independent subprojects to be worked out by selected participants (called the "mentees"). Then:

1. Project Release & Registration: The project programs and the registration form will be released together with the second announcement of the event in mid February.

2. Selection for Mentees: the selection process will start immediately after the second announcement and last till end February.

3. Active Research: The research of the mentees will start from  March under the guidance of their mentors and with more detailed project programs. The research is expected to be done before the workshop week: not necessarily in fully polished papers, but the main results should be clearly stated and the techniques should be cleanly explained.

4. Workshop Week: The workshop week will consist of talks by the mentors and the mentees presenting their new research result.

5. Proceeding:  The mentees are supposed to finish their research paper within half a year after the workshop. These papers will be collected by the organizers into a workshop proceeding.

Who are eligible to be mentees? 

Our goal is to bring together motivated minds, regardless of their academic age or prior specialization. What we value most is your intellectual energy, your endeavor, and your dedication. Whether local systems are already your primary research area or a fascinating topic that has recently captured your imagination through late-night reading, you are fully encouraged to join us.

How does the selection process work?

Along the registration form, you will be able to rank your interests in different subprojects provided by mentors. You are very encouraged to send us some write-ups that you believe can help us increase your chance: It can be your bachelor/master/PhD thesis, your research article(s), your reading notes, or even some parts of your CV on seminar participation. We will be interested not only if you already have some knowledge on the subprojects you choose, but also if you show enough maturity as a mathematician to jump across different fields.

Further questions? Drop an email here 👉 renfei@uni-wuppertal.de

Timetable

To be announced

Food Choices

Mensa ME 02  /   C@feteria ME 03

These two are the main food places on campus. Card payment only. Here is the daily menu. 

Kneipe ME 04

It is also operated by the Uni, and usually the waiting time here is longer than the two above. They also serve alcohol and dinner. You can find their menu via the same link.

Workshop Dinner

Sponsers

• GRK 2240: Algebro-geometric Methods in Algebra, Arithmetic and Topology

• Professor Kay Rülling's Kostenstelle