BEGIN:VCALENDAR
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CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Maria Bruna (University of Cambridge)
DTSTART:20201023T070000Z
DTEND:20201023T080000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/1
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/1/">
 Diffusion of finite-size particles and application to heterogeneous domain
 s</a>\nby Maria Bruna (University of Cambridge) as part of Barcelona Mathe
 matical Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis Cata
 lans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\n\nAbstract\nIn
  this talk\, I will discuss nonlinear Fokker-Planck models describing diff
 usion processes with particle interactions. These models are motivated by 
 the study of many-particle systems in biology and arise as the population-
 level description of a stochastic particle-based model. While mean-field a
 pproximations are valid for long-range interactions\, here I will show how
  to tackle the case of short-range interactions such as finite-size or exc
 luded-volume effects.\nIn the second part of the talk\, I will discuss how
  this method can be used to derive an effective transport equation in hete
 rogeneous domains\, such as porous media or crowded environments. A nice f
 eature of this approach is that it can easily account for macroscopic grad
 ients in porosity or crowding. I will compare this with an alternative hom
 ogenisation method for periodic porous media and show an industrial applic
 ation concerning filters.\n
LOCATION:https://researchseminars.org/talk/BMD2020/1/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201023T083000Z
DTEND:20201023T104000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/2
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/2/">
 Number Theory session (I)</a>\nby (several) as part of Barcelona Mathemati
 cal Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis Catalans
  (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/2/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201023T083000Z
DTEND:20201023T104000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/3/">
 Dynamical Systems  session (I)</a>\nby (several) as part of Barcelona Math
 ematical Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis Cat
 alans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbstract: TBA
 \n
LOCATION:https://researchseminars.org/talk/BMD2020/3/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201023T083000Z
DTEND:20201023T104000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/4
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/4/">
 Complex Systems and Networks session (I)</a>\nby (several) as part of Barc
 elona Mathematical Days 2020\n\nLecture held in "Edifici de l'Institut d'E
 studis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbs
 tract: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/4/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Joaquim Serra (ETH Zürich)
DTSTART:20201023T123000Z
DTEND:20201023T133000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/5/">
 The singular set in the Stefan problem</a>\nby Joaquim Serra (ETH Zürich)
  as part of Barcelona Mathematical Days 2020\n\nLecture held in "Edifici d
 e l'Institut d'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona -
  Catalunya.\n\nAbstract\nThe Stefan problem\, dating back to the XIX centu
 ry\, aims to describe the evolution of a solid-liquid interface\, typicall
 y a block of ice melting in water. A celebrated work of Luis Caffarelli fr
 om the 1970’s established that the ice-water interface must be an analyt
 ic surface outside of a certain closed set: the so-called singular set. Th
 is singular set was only known to be contained in a surface of class $C^1 
 $ and it could be\, a priori\, as large as the regular set.\nI will presen
 t a recent joint work with A. Figalli and X. Ros-Oton in which we obtain n
 ew delicate bounds on the size (Hausdorff dimension) of the singular set i
 n the Stefan problem.\n
LOCATION:https://researchseminars.org/talk/BMD2020/5/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201023T133500Z
DTEND:20201023T154500Z
DTSTAMP:20260415T185030Z
UID:BMD2020/6
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/6/">
 Geometric Structures session (I)</a>\nby (several) as part of Barcelona Ma
 thematical Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis C
 atalans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbstract: T
 BA\n
LOCATION:https://researchseminars.org/talk/BMD2020/6/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201023T133500Z
DTEND:20201023T154500Z
DTSTAMP:20260415T185030Z
UID:BMD2020/7
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/7/">
 Geometric Analysis and PDE session (I)</a>\nby (several) as part of Barcel
 ona Mathematical Days 2020\n\nLecture held in "Edifici de l'Institut d'Est
 udis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbstr
 act: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/7/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201023T133500Z
DTEND:20201023T154500Z
DTSTAMP:20260415T185030Z
UID:BMD2020/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/8/">
 Stochastic Analysis and Random Structures session (I)</a>\nby (several) as
  part of Barcelona Mathematical Days 2020\n\nLecture held in "Edifici de l
 'Institut d'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Ca
 talunya.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/8/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kevin Buzzard (Imperial College London)
DTSTART:20201023T160000Z
DTEND:20201023T170000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/9/">
 The Future of Mathematics?</a>\nby Kevin Buzzard (Imperial College London)
  as part of Barcelona Mathematical Days 2020\n\nLecture held in "Edifici d
 e l'Institut d'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona -
  Catalunya.\n\nAbstract\nI will talk about the state of the art of so-call
 ed “proof assistants”\, computer systems which right now are pretty mu
 ch incapable of assisting any mathematician with any serious proof.\nHowev
 er\, these proof assistants can do something. In fact over the last few ye
 ars the Lean proof assistant has been taught a lot of undergraduate and MS
 c algebra\, analysis\, number theory\, geometry and topology. I will give 
 a live demonstration showing what Lean can do now\, and then talk about wh
 at proof assistants might soon be able to do\, and speculate about how the
 y might be useful to mathematicians in the future.\n
LOCATION:https://researchseminars.org/talk/BMD2020/9/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Susanna Terracini (Università di Torino)
DTSTART:20201024T070000Z
DTEND:20201024T080000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/10/"
 >Chaotic behaviour and symbolic dynamics in Celestial Mechanics</a>\nby Su
 sanna Terracini (Università di Torino) as part of Barcelona Mathematical 
 Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis Catalans (IE
 C)". Carrer del Carme\, 47. Barcelona - Catalunya.\n\nAbstract\nWe conside
 r the planar N-centre problem\, with homogeneous potentials of negative de
 gree\, possibly anisotropic. We prove the existence of infinitely many col
 lisions-free periodic solutions with negative and small energy\, for any d
 istribution of the centres inside a compact set. The proof is based upon t
 opological\, variational and geometric arguments. The existence result all
 ows to characterize the associated dynamical system with a symbolic dynami
 cs\, where the symbols are the partitions of the N centres in two non-empt
 y sets.\n
LOCATION:https://researchseminars.org/talk/BMD2020/10/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201024T083000Z
DTEND:20201024T104000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/11/"
 >Geometric Structures session (II)</a>\nby (several) as part of Barcelona 
 Mathematical Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis
  Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbstract:
  TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/11/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201024T083000Z
DTEND:20201024T104000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/12/"
 >Geometric Analysis and PDE session (II)</a>\nby (several) as part of Barc
 elona Mathematical Days 2020\n\nLecture held in "Edifici de l'Institut d'E
 studis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbs
 tract: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/12/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201024T083000Z
DTEND:20201024T104000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/13
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/13/"
 >Stochastic Analysis and Random Structures session (II)</a>\nby (several) 
 as part of Barcelona Mathematical Days 2020\n\nLecture held in "Edifici de
  l'Institut d'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - 
 Catalunya.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/13/
END:VEVENT
BEGIN:VEVENT
SUMMARY:Karen Vogtmann (Warwick University)
DTSTART:20201024T104500Z
DTEND:20201024T114500Z
DTSTAMP:20260415T185030Z
UID:BMD2020/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/14/"
 >Spaces of graphs and tori</a>\nby Karen Vogtmann (Warwick University) as 
 part of Barcelona Mathematical Days 2020\n\nLecture held in "Edifici de l'
 Institut d'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Cat
 alunya.\n\nAbstract\nThe classical symmetric space SL(n\,R)/SO(n) is often
  described as a space of marked lattices in R^n (marked by a choice of bas
 is)\, but from another perspective it can be thought of as a space of flat
  n-dimensional tori\, marked by a choice of basis for the fundamental grou
 p Z^n. In the 1980’s a space O_n\, now called Outer space\, was defined 
 analogously as a space of marked metric graphs\, marked by a choice of bas
 is for the fundamental group F_n.\nI will describe these spaces and explai
 n some of the ways in which they can be used to give information about aut
 omorphisms of Z^n and F_n respectively. I will then show how to make a hyb
 rid space which can be used to give information about automorphisms of gro
 ups that interpolate between F_n and Z^n\, called `right-angled Artin grou
 ps`.\n
LOCATION:https://researchseminars.org/talk/BMD2020/14/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201024T130000Z
DTEND:20201024T151000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/15/"
 >Number Theory session (II)</a>\nby (several) as part of Barcelona Mathema
 tical Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis Catala
 ns (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbstract: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/15/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201024T130000Z
DTEND:20201024T151000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/16
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/16/"
 >Dynamical Systems  session (II)</a>\nby (several) as part of Barcelona Ma
 thematical Days 2020\n\nLecture held in "Edifici de l'Institut d'Estudis C
 atalans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nAbstract: T
 BA\n
LOCATION:https://researchseminars.org/talk/BMD2020/16/
END:VEVENT
BEGIN:VEVENT
SUMMARY:(several)
DTSTART:20201024T130000Z
DTEND:20201024T151000Z
DTSTAMP:20260415T185030Z
UID:BMD2020/17
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/17/"
 >Complex Systems and Networks session (II)</a>\nby (several) as part of Ba
 rcelona Mathematical Days 2020\n\nLecture held in "Edifici de l'Institut d
 'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona - Catalunya.\nA
 bstract: TBA\n
LOCATION:https://researchseminars.org/talk/BMD2020/17/
END:VEVENT
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