Aktuelle Vorträge und Veranstaltungen

Wintersemester 2020/21

Das Seminar findet bis auf weiteres über Zoom statt. Der Link wird am Morgen des Seminartermins via Zoom an die Mitglieder der Arbeitsgruppe geschickt. Falls Sie die Emails unserer Arbeitsgruppe nicht bekommen, melden Sie sich bitte mit einer kurzen Email an ulirsch[at]math.uni-frankfurt.de an.

The Seminar will be held via Zoom for the foreseeable future. The link will be sent to all members of our working group on the morning of the seminar. If you do not receive the emails of our working group, please register with a short email to ulirsch[at]math.uni-frankfurt.de.

Di, 6. Okt. 2020, Oberseminar Algebra und Geometrie (on Zoom)

  • 16:00-17:00: David Leatham (Goethe-Universität Frankfurt): Tropical Geometry of Deep Neural Networks (Bachelorabschlussvortrag)

Mi, 4. Nov. 2020, Bachelorabschlussvortrag (on Vidyo)

  • 14:00 - 16:00: Florian Schröck (Goethe-Universität Frankfurt): Kryptographie mit elliptischen Kurven am Beispiel von WhatsApp                                          
  • Wie kann man ein Geheimnis austauschen, ohne im gleichen Raum zu sein? Vor dem Aufruf dieser Webseite haben Ihr Browser und der Webserver genau das getan und dabei eine elliptische Kurve benutzt. Im Rahmen des Vortrags werden die algebraisch-geometrischen Grundlagen elliptischer Kurven und ihrer Gruppenstruktur eingeführt, die kryptographisch vorteilhaften Montgomery-Kurven beleuchtet und dargestellt, wie sich Alice und Bob auf Basis des Signal-Protokolls in WhatsApp vertraulich unterhalten können.

Mi, 4. Nov. 2020, Oberseminar Algebra und Geometrie (on Zoom):

  • 16:00-17:00: Ming-Hao Quek (Brown University): Resolution of singularities via stacks and weighted blowings up
    One feature of Hironaka's resolution of singularities over a field k of characteristic zero is that the process is independent of choices of local embeddings, and hence, this allows us to reduce to the case of embedded resolution of singularities (namely, resolving the singularities of a reduced, finite type -scheme embedded in a smooth -scheme). I will explain recent work by Abramovich-Temkin-Włodarczyk and me, which revisits this topic of embedded resolution of singularities by considering stack-theoretic weighted blowings up. Doing so forces us to consider embeddings in (log) smooth Deligne-Mumford stacks over, instead of embeddings in a smooth -scheme. The result is a simpler and faster procedure to Hironaka's resolution of singularities in characteristic zero, although the end result is a smooth stack instead of a smooth scheme. We resolve that final problem by applying a de-stackification theorem due to Bergh-Rydh.

Do., 12. Nov. 2020, Oberseminar Algebra und Geometrie (on Zoom)

- DaFra-Seminar on Condensed Mathematics: Leitfaden & Getting condensed -

  • 15:00-16:00 (Talk 1)  Ingmar Metzler, "The condensed world"
  • 16:00-16:30: Coffee break
  • 16:30-17:30 (Talk 2) "Topological spaces as condensed sets"

Do., 26. Nov. 2020, Oberseminar Algebra und Geometrie (on Zoom)

- DaFra-Seminar on Condensed Mathematics: Condensed abelian groups and their cohomology I -

  • 15:00-16:00 (Talk 3)  "The category of condensed abelian groups" 
  • 16:00-16:30: Coffee break
  • 16:30-17:30 (Talk 4) Jakob Stix: "Digression: Computing cohomology via simplicial hypercovers" 

Mi, 2. Dez. 2020, Oberseminar Algebra und Geometrie (on Zoom)

  • 16:00-17:00: Martin Schwald (University of Essen):

Do., 3. Dez. 2020, Oberseminar Algebra und Geometrie (on Zoom)

- DaFra-Seminar on Condensed Mathematics: Condensed abelian groups and their cohomology II -

  • 15:00-16:00 (Talk 5)  "Computation of the cohomology of Z and of R"
  • 16:00-16:30: Coffee break
  • 16:30-17:30 (Talk 6) "Locally compact abelian groups as condensed abelian groups"  

Mi, 16. Dez. 2020, Oberseminar Algebra und Geometrie (on Zoom)

  • 16:00-17:00: Yajnaseni Dutta (University of Bonn):

Do., 17. Dez. 2020, Oberseminar Algebra und Geometrie (on Zoom)

- DaFra-Seminar on Condensed Mathematics: Return of the Solids -

  • 15:00-16:00 (Talk 7)  "Solids I" 
  • 16:00-16:30: Coffee break
  • 16:30-17:30 (Talk 8) Patrick Bieker, "Solids II" 

Do., 14. Jan. 2021, Oberseminar Algebra und Geometrie (on Zoom)
- DaFra-Seminar on Condensed Mathematics: Coherent duality -

  • 15:00-16:00 (Talk 9)  "Analytic rings"
  • 16:00-16:30: Coffee break
  • 16:30-17:30 (Talk 10) "Local Serre duality" 

Do., 28. Jan. 2021, Oberseminar Algebra und Geometrie (on Zoom)

- DaFra-Seminar on Condensed Mathematics: Liquids strike back -

  • 15:00-16:00 (Talk 11)  "Banach and Smith spaces I"  
  • 16:00-16:30: Coffee break
  • 16:30-17:30 (Talk 12) "Banach and Smith spaces II"