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Around profinite groups

14-16 Sep 2022

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Background and aims of the conference

The event is a follow up workshop of the conference “New trends in profinite groups” held in Levico terme, September 2021.

The aim of the workshop is to bring together the major experts on profinite groups with number theorists working with profinite groups. These mixed meetings were initiated by O.H. Kegel and A. Lubotzky in the late ’80’s of the last century and provide an active interaction between group theorists and number theorists.

Speakers and committees

Speakers:

  • Pavel Zalesskii (Universidade de Brasilia)
  • Christian Maire (Université de France-Comté)
  • Mark Shustermann (Harvard University - online)
  • Ilir Snopche (Universidade Federal do Rio de Janeiro)
  • Conchita Martinez-Perez (Universidad de Zaragoza)
  • Joshua Maglione (Universität Magdeburg)
  • Matteo Vannacci (Bilbao)
  • Tamar Bar-On (University of Oxford)
  • Karthika Rajeev (Universität Bielefeld)
  • Jon Gonzalez-Sanchez (Universidad del Pais Vasco)
  • Paula Lins de Araujo (University of Lincoln)
  • Benjamin Klopsch (Universität Düsseldorf)

Organizing Committee:

  • Ilaria Castellano, University of Milano Bicocca
  • Valerio Monti, University of Insubria
  • Claudio Quadrelli, University of Insubria
  • Christopher Voll, Bielefeld University
  • Thomas Weigel, University of Milano Bicocca

Schedule

Wed, Sep 14th

14:00

Opening

14:00

14:30

Combinatorial theory of pro-p groups

Zalesskii

15:30

Coffee break

15:30

16:00

Construction of maximal unramified p-extensions of given Galois groups

Christian Maire

17:30

Counting relations in profinite groups

Shustermann

17:30

Thu, Sep 15th

9:00

Profinite completion of free profinite groups

Bar-On

9:00

10:30

Lie algebras and groups: cohomological properties

Martinez-Perez

11:30

Coffee break

11:30

12:00

Igusa zeta functions and flag Hilbert-Poincar´e series of hyperplane arrangements

Maglione

13:00

Lunch

13:00

14:30

Weil zeta functions of representations over finite fields: abscissae of convergence

Vannacci

15:30

Coffee break

15:30

16:00

Frattini-resistance and maximal pro-p Galois groups

Snopche

17:30

On the Basilica operation

Rajeev

17:30

20:00

Social dinner

at "Il gestore" restaurant

Show on map

Fri, Sep 16th

9:00

Zeta functions associated to irreducible representations of profinite groups over number fields

Gonzalez-Sanchez

9:00

10:30

Zeta functions and points on elliptic curves

Lins de Araujo

11:30

Coffee break

11:30

12:00

Finite axiomatizability of the rank and the dimension of p-adic analytic pro-p groups

Klopsch

Villa Toeplitz

Via G.B. Vico, 46
21100 Varese VA

https://www.arthotelvarese.it/

In front of the Hotel the bus line C (people can get the ticket on the bus) takes to walking distance from villa Toeplitz


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