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Geographic spaces for evolution: from lattices to graphs to continuum

12.12.-13.12.2019
Begin: ~09.00 h (Arrival 11.12.2019)
End: ~14.30 h

Description:

Spatial populations are frequently modelled using discrete geographic spaces like $\Z^d$. For many applications in biology, and other disciplines, this is unsatisfactory and one needs to pass to more general graphs, giving up that way the underlying group structure.

Often it is necessary to pass to continuum space like $\R^d$ or the space of graphons. Such extensions are necessary not only to analyze quantities like the type composition, but also to extract universal patterns in the behaviour of the populations on large time and space scales. Here the universality classes are represented by the continuum space limit after an appropriate time-space-rate rescaling. In that context one also want to analyze the genealogies of the continuum space limit, which give rise to technical and conceptual challenges, via a basic tool in this context: the Brownian web.

The workshop aims at bringing together different lines of development, combining the insights and the connections that several participants of the SPP gained during a special activity during July and August 2017 at NU Singapore. We are also aiming at highlighting differences in techniques, and to discuss pro’s and con’s of the continuum space approach versus discrete methods.

Confirmed Speakers

Matthias Birkner – Mainz

Frank den Hollander – Leiden

Andrej Depperschmidt – Erlangen

Raphael Forien – Avignon

Nic Freeman – Sheffield

Matthias Hammer – Berlin

Anton Klimovsky – Essen

Margriet Oomen – Leiden

Jan Swart – Prag

Rongfeng Sun – Singapore

Daniel Valesin – Groningen

Maite Wilke-Berenguer – Bochum

Program

Location

Lecture room H13
Department Mathematik
Cauerstr. 11
91058 Erlangen

Registration – till 01st November 2019

Please send your registration per Mail to

Kontakt:

Nicole Güthlein

Informationen zur Anreise

Registration form


18. Erlanger-Münchner Tag der Stochastik / Probability Day 2019

Der 18. Erlanger-Münchner Tag der Stochastik findet statt am

Freitag, den 10. Mai 2019 im Hörsaal H 13 im Department Mathematik in der Cauerstraße 11 in Erlangen.

Kontakt:

Nicole Güthlein

Informationen zur Anreise

Spatial population models: From configurations to genealogies and back

25.03.-27.03.2019
Begin: ~13.30 h
End: ~14.30 h

Description:

The workshop focuses on the typical spatial and non-spatial models in population genetics.

The goal of the workshop is to focus on a systematic treatment of genealogies in those models,
use genealogies to derive and explain facts in configurations of type frequencies, sizes etc. or
to use informations about the latter to learn more about the genealogies.

Some talks are planned to particularly address the issue of perspectives for further research
on the topic in the future; another slot is for four talks of younger scientists associated with the SPP.

Program

Confirmed Speakers:

Ellen Baake – Universität Bielefeld
Matthias Birkner – Johannes-Gutenberg Universität Mainz
Anton Bovier – Friedrich-Wilhelms-Universität Bonn
Theodore J. Cox – Syracuse University (USA)
Andrej Depperschmidt – Friedrich-Alexander-Universität Erlangen
Frank den Hollander – Universität Leiden (NL)
Achim Klenke – Johannes-Gutenberg Universität Mainz
Anton Klimovsky – Universität Duisburg-Essen
Margriet Oomen – Universität Leiden (NL)
Peter Pfaffelhuber – Albert-Ludwig-Universität Freiburg
Lea Popovic – Concordia University Montreal (CAN)
Jan Swart – Czech Academy of Science Prag (CZ)
Anton Wakolbinger – Goethe Universität Frankfurt a.M.
Anita Winter – Universität Duisburg-Essen
…..and other invited speakers.

Preliminary Program:

Program

Location

Lecture room No. H13
Department Mathematik
Cauerstr. 11
91058 Erlangen

Genealogies, lines of descent and duality in population models

19.03.-21.03.2018
Begin: ~14.00 h
End: ~15.00 h

Description:

The workshop focuses on the description of genealogies and lines of descent in the standard models of population genetics, which involve resampling, mutation, selection, recombination and migration (or some of these). The role of duality will be explored. The goal is to present the current research within the SPP1590, to communicate in a systematic way some key concepts and to learn about what happens internationally.

For this reason there will be a minicourse on genealogies and their evolution based on metric measure spaces and a survey talk on the behaviour of lines of descent. Some foreign speakers are invited. Finally a number of talks by SPP members are invited.

Confirmed Speakers:

Matthias Birkner (Survey talk – ancestral lines) – Johannes-Gutenberg Universität Mainz
Peter Pfaffelhuber (Minicourse on genealogy) – Albert-Ludwig-Universität Freiburg
Anita Winter (Minicourse on genealogy) – Universität Duisburg-Essen

Ellen Baake – Universität Bielefeld
Stein Andreas Bethuelsen – TU München
Jochen Blath – TU Berlin
Paul Jenkins – University of Warwick
Sandra Kliem – Universität Duisburg-Essen
Anton Klimovsky – Universität Duisburg-Essen
Amaury Lambert – UPMC Univ Paris 06
Wolfgang Löhr – Universität Duisburg-Essen
Etienne Pardoux – Aix Marseille Université
Anja Sturm – Universität Göttingen
Anton Wakolbinger -Goethe Universität Frankfurt a.M.

Preliminary Program:

Program

Location:

Lecture room No. H13

Department Mathematik
Cauerstr. 11
91058 Erlangen

16. Erlanger-Münchner Tag der Stochastik / Probability Day 2017

09th of June 2017

Der diesjährige Tag der Stochastik findet am

Freitag, den 09.Juni 2017

im Hörsaal H 13 im Department Mathematik in der Cauerstrasse 11 in Erlangen statt.

Programm

Minicourse Eindhoven, D.Dawson and A.Greven,  29th-31st of March 2017

The Minicourse has five parts:

Part I: The scenario in a nutshell: Two-types

Lecture 1, Lecture 2 first half

Part II: Multitype model on infinite geographic space

Lecture 2 second half, Lecture 3

Part III: Duality: The basic picture

Part IV: Duality: Specific form for finite type models and application to our scenario

Lecture 4

Part V: The cascade of evolution: Appetizing the BOOK

End of Lecture 4

Download Minicourse:

Part I

Part II

Part III

Part IV

Part V

Scenario

Duals in mutation-selection Systems

23.05.2016 in Erlangen

Agenda

  • 09.00 – 10.00 `From classical to function-valued duality‘ (A.Greven)
  • 10.00 – 11.00 discussion
  • 11.00 – 11.30 coffee break
  • 11.30 – 12.30 `Set-valued mutation duality and modified selection duality‘ (A.Greven)
  • 12.30 – 13.30 discussion
  • 13.30 – 15.00 lunch break
  • 15.00 – 16.00 `Ordered and tableau-valued duality‘ (A.Greven)
  • 16.00 – 17.00 discussion
  • 17.00 – 18.00 possibly further open discussion, or work in groups
  • 19.00 dinner

DFG SPP 1590 Colloquium

22nd-24th of September 2014

General Information

The meeting will start on

  • Monday, 22.09.2014, at 1pm

and end on

  • Wednesday, 24.09.2014, at 12.30pm

The talks take place in „Hörsaal 13“.
Coffee will be served in „Übungsraum 4“ (Room 01.253).

Local registration: Monday, 22.09.2014, at 1pm.

Programme and Participation

The programme can be found here.

This meeting is the second of the yearly colloquia of DFG’s Priority Programme SPP 1590 (Probabilistic Structures in Evolution). If you are not an SPP member and would like to participate in the workshop, please contact S. Wendler.

Deadline for registration: 30.07.2014.

Accomodation

Speakers and official participants of the SPP are booked at either Altmanns Stuben, Rokokohaus, Hotel Luise or Hotel Smart Inn and will be informed separately.

Further rooms are reserved at www.book-it.de („first apart“ and „east apart“, 95€/apartment). These apartments are reserved until 31.7.2014. Booking is of course also possible via the usual hotel portals.

Local information

The conference will take place at:

Campus of University Erlangen-Nürnberg
Naturwissenschaftliche Fakultät
Department Mathematik
Cauerstr. 11
91058 Erlangen

See the contact page of the mathematical department for further information on directions and public transportation.

A buffet will be served on Monday evening. On Tuesday evening you are free to explore Erlangen on your own. Good restaurant options are La Pergola, Salz & Pfeffer, Maalula.
Of course there are also interesting bars (Galileo, Havana Bar, Goldener Mond, TIO …).

The workshop is supported by the DFG Schwerpunkt 1590: Probabilistic structures in Evolution.

Probability Day 2013

on Friday, July 12, 2013

at the Department Mathematik Erlangen

For information see

Programm Tag der Stochastik

Probability Day 2011

at the Department Mathematik Erlangen

Probability Day 2007

on Friday, November 30, 2007

at the Department Mathematik Erlangen

For information see

Programm Tag der Stochastik

Probability Day Programme

Probability Day 2005

on Friday, December 16, 2005

at the Mathematical Institute Erlangen

For further information see

Probability Day Programme

Probability Day 2003

on Friday, November 14, 2003

at the Mathematical Institute Erlangen

For further preliminary information see

Probability Day Programme