Mikhail
Gorsky
Jean Monnet University
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14. February
Today
18. February
Wed W07
Marta
Dai Pra
HU Berlin
Diego A.
Robayo Bargans
RPTU
Tropical cycles of tropical covers and divisorial applications
Abstract.
In this talk, I will describe a tropical intersection theoretic framework for spaces concocted similarly to the moduli spaces of marked tropical curves. This approach is performed through the introduction of poic-fibrations and their corresponding equivariant tropical cycles. Special interest is given to the case of tropical curves and tropical admissible covers. For the latter, I will describe their corresponding moduli spaces together with a natural equivariant cycle from which some results pertaining to divisors on metric graphs are readily deduced.
25. February
Wed W08
Marta
Dai Pra
HU Berlin
Multi-type logistic branching processes with selection: frequency process and genealogy for large carrying capacities
Abstract.
We present a model for growth in a multi-species population. We consider two types evolving as a logistic branching process with mutation, where one of the types has a selective advantage. We first study the frequency of the disadvantageous type and show that, once the population approaches the carrying capacity, its evolution converges to a Gillespie-Wright-Fisher diffusion process. We then study the dynamics backward in time: we fix a time horizon at which the population is at carrying capacity and we study the ancestral relations of a sample of individuals. We prove that, provided that the advantageous and disadvantageous branching measures are ordered, this ancestral line process converges to the moment dual of the limiting diffusion. This talk is based on joint work with Julian Kern.
04. March
Wed W09
Felix
Röhrle
University of Tübingen
11. March
Wed W10
Anh Duc
Vu
WIAS Berlin
Hannes
Meinlschmidt
Friedrich-Alexander-Universität Erlangen-Nürnberg
23. March
Mon W12
Maryna
Nesterenko
Institute of Mathematics, Kyiv, Ukraine
15. April
Wed W15
Pierluigi
Colli
Università Pavia, Italy
16. April
Thu W15
José Antonio
Carrillo
University of Oxford, United Kingdom
21. April
Tue W16
Pierrick
Bousseau
Oxford University
Corentin
Bodart
Oxford
28. April
Tue W17
Simon
Andre
Paris
29. April
Wed W17
Stefanie
Schindler
WIAS
Laura
Ciobanu
TU Berlin
05. May
Tue W18
Damien
Simon
Sorbonne Universite
20. May
Wed W20
Riccarda
Rossi
University of Brescia, Italy
16. June
Tue W24
Bertrand
Eynard
IPhT CEA Saclay
07. July
Tue W27
Alexander
Alexandrov
IBS Pohang
14. July
Tue W28
Alexander
Alexandrov
IBS Pohang
17. December
Thu W50
Lars
Kastner
TU Berlin
Drawing algebraic curves in OSCAR