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Uppsala Ph.D. Mathematics Conference

Europe/Stockholm
4001 (Ångströmslaboratoriet)

4001

Ångströmslaboratoriet

Description

The department of mathematics at Uppsala University welcomes Ph.D. students in the field of mathematics to a one-day conference. All students from any field of mathematics are welcome. The primary audience is students from the greater Stockholm-Uppsala region, for whom some financial support had been made available by way of the department paying for tickets.

By bringing together students in the area the conference hopes to establish and foster connections between researchers at the beginning of their careers.

The preliminary list of speakers is:

Participants
  • Aksel Bergfeldt
  • Anders Israelsson
  • Axel Husin
  • Christoffer Olsson
  • Christoffer Söderberg
  • Colin Desmarais
  • Daniel Ahlsen
  • Elena Farahbakhsh Touli
  • Elin Persson Westin
  • Eric Ahlqvist
  • Federico Izzo
  • Fredrik Fryklund
  • Gustav Hammarhjelm
  • Jeroen Hekking
  • Joar Bagge
  • Joel Dahne
  • Johan Asplund
  • Johan Rydholm
  • Johanna Strömberg
  • Laertis Vaso
  • Lukas Kristiansson Schoug
  • Malte Litsgård
  • Marcus Westerberg
  • Martina Favero
  • Nikolaos Iakovidis
  • Rebekka Müller
  • Wenkui Liu
  • Yuqiong Wang
    • 08:45 09:15
      Pickup from Centralstation
    • 09:15 09:45
      Fika 4001

      4001

      Ångströmslaboratoriet

    • 09:45 10:30
      Ramified covers and root stacks 45m 4001

      4001

      Ångströmslaboratoriet

      A ramified cover X of a surface S gives rise to ramification data in the following sense: the locus in S over which X is ramified will look like a union of curves and to each curve we associate the corresponding ramification index. Conversely, given a finite number of curves in S intersecting only transversely, and a positive integer for each curve, we may ask when such data comes from a ramified cover. We will explain how to give a criteria for when this is the case, using root stacks.

      Speaker: Eric Ahlqvist (KTH)
    • 10:30 10:45
      Break 15m 4001

      4001

      Ångströmslaboratoriet

    • 10:45 11:30
      Introduction to homological mirror symmetry and the Fukaya category 45m 4001

      4001

      Ångströmslaboratoriet

      Homological mirror symmetry is a deep mathematical conjecture
      proposed by Maxim Kontsevich at the 1994 ICM in Zürich, and it is about
      a certain relationship between the two mathematical areas of symplectic
      geometry and algebraic geometry. More precisely, the conjecture states
      that there is a derived equivalence between the so-called Fukaya
      category in symplectic geometry, and the category of coherent sheaves
      which is well-studied in the field of algebraic geometry. The conjecture
      is an attempt at understanding mirror symmetry in string theory which is
      well-known by physicists.

      In this talk I will first go through history and origins of the
      conjecture. After that, an introduction to symplectic geometry will be
      given and the goal will be to give the audience a feeling of what the
      Fukaya category is.

      Speaker: Johan Asplund (Uppsala University)
    • 11:30 13:00
      Lunch 1h 30m Rullan

      Rullan

      Kungsgatan 55, 753 21 Uppsala
    • 13:00 13:45
      Strategic ability, information and memory 45m 4001

      4001

      Ångströmslaboratoriet

      A typical game theoretic question is this: given some set of information and available memory, what conditions can an agent force? This talk will tackle the converse: given a class of conditions, what information and memory does an agent need to force the conditions? Specifically, I present the logic ATL for reasoning about strategic ability in a multi-agent settings, and show that for certain fragments of ATL, one can restrict the information available to agents without limiting their strategic abilities.

      Speaker: Daniel Ahlsén (Stockholm University)
    • 13:45 14:00
      Break 15m 4001

      4001

      Ångströmslaboratoriet

    • 14:00 14:45
      Importance sampling and weak convergence in population genetics 45m 4001

      4001

      Ångströmslaboratoriet

      Importance sampling algorithms are used in population genetics to estimate small probabilities of gene configurations. ​In order to prove the efficiency of these algorithms, it is necessary to determine the asymptotic behaviour of the sampling probabilities. As a first step in this direction, we show weak convergence for a sequence of coalescent processes and the corresponding mutation processes, as the sample size goes to infinity. Time is scaled and convergence of semigroups is proved. The limiting process consists of a deterministic part and of conditionally independent Poisson processes with varying intensity. This is a work in progress with H.Hult (KTH)​.

      Speaker: Martina Favero (KTH)
    • 14:45 15:15
      Fika 4001

      4001

      Ångströmslaboratoriet

    • 15:15 16:00
      The Gaussian free field: local sets and their dimensions 45m 4001

      4001

      Ångströmslaboratoriet

      The two-dimensional Gaussian free field is the canonical model for a random surface and is important in many different areas of mathematics and physics. It is the two-dimensional time analog of Brownian motion and enjoys many similar properties, such as a certain domain Markov property and local sets, i.e., higher-dimensional versions of stopping times. In this talk, we introduce these notions, with the Brownian motion in mind, and discuss the properties of these random sets as well as briefly describe how to compute the dimensions of a certain class of local sets. The talk is based on joint work with Avelio Sepúlveda and Fredrik Viklund.

      Speaker: Lukas Kristiansson Schoug (KTH)
    • 16:00 16:15
      Break 15m 4001

      4001

      Ångströmslaboratoriet

    • 16:15 17:00
      Percolation 45m 4001

      4001

      Ångströmslaboratoriet

      Percolation studies the behaviour of clusters in random graphs. It has applications to modeling phenomena as diverse as magnetism, spread of infectious diseases, and the adaption of new technologies in society. This talk will give a brief overview of the theory of percolation, starting from the celebrated Harris-Kesten theorem on percolation in the square lattice in two dimensions. We will in particular consider tools used to study percolation in random geometric graphs and the configuration model. Finally, we will consider what new questions arise when we drop the independence requirement from the standard percolation process.

      Speaker: Johanna Strömberg (Uppsala University)
    • 17:30 19:30
      Dinner 2h China Garden

      China Garden

      Kungsgatan 55, 753 21 Uppsala
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