Summer School DYNAMICS OF INFECTIOUS DISEASES, August 2014
The Helsinki Summer School on Mathematical Ecology and Evolution 2014 - an EMS-ESMTB Summer School in Applied Mathematics
This edition of the summer school specializes on the dynamics of infectious diseases. More information here .
Intensive-course "Spaces of Entire Functions in Spectral Problems", November 2012
Alexei Poltoratskin (Texas A&M University)
will lecture a one week course
Tuesday 13.11. 14-16 D122
Wednesday 14.11. 14-16 D123
Thursday 15.11. 14-16 D122
Friday 16.11 14-16 C124
The Krein - de Branges theory of Hilbert spaces of entire functions was introduced around mid 20th century to treat spectral problems related to differential operators and canonical systems.
Since then, the theory has become a fundamental part of spectral and complex analysis. It was applied in numerous important problems, e.g. Marchenko's proof of the uniqueness of the inverse spectral problem for Schroedinger operators. The course covers the basics of the theory, its connections with other branches of complex and harmonic analysis and recent applications.
Intensive-course "Fluctuation relations in stochastic thermodynamics", November 2012
Krzysztof Gawędzki (Laboratoire de Physique ENS de Lyon)
will lecture a one week course
Mon 05.11 at 14 in D122, Lecture 1 : Transient fluctuation relations for Markov processes.
Tue 06.11 at 14 in D122, Lecture 2: 2nd Law of Stochastic Thermodynamics.
Thr 08.11 at 14 in D122, Lecture 3: Fluctuation-dissipation relations.
Fri 09.11 at 14 in CK107,Lecture 4: Stationary fluctuation relations for large deviations.
Nonequilibrium statistical mechanics aims at a statistical description of closed and open dynamical systems of large dimension. Fluctuation relations are robust identities concerning the statistics of entropy production or performed work in such systems. They are expected to hold arbitrarily far from thermal equilibrium. The lectures present a self contained mathematical introduction to fluctuation relations in the setup of finite-dimensional diffusion processes.
Summer School on Mathematical Ecology and Evolution 2012 THEORY OF SPECIATION, August 2012
The Helsinki Summer School on Mathematical Ecology and Evolution 2012 - an EMS-ESMTB Summer School in Applied Mathematics
This edition of the summer school specializes on the theory of speciation and is partially supported by the ESF network FroSpects. More information here.
Crash-course "Some topics in random matrices and conformal field theory", 28 May - 1 June 2012
Nikolai Makarov (CalTech)
will give an intensive course on "Some topics in random matrices and conformal field theory"
The lectures are Monday-Friday 28.5-1.6 each day 13-15 in room D123.
Crash-course "Directed Polymers Models", January 2012
Timo Seppäläinen (University of Wisconsin)
will give an intensive course on DIRECTED POLYMER MODELS
January 9-11, 14-16, lecture room D123
Lecture 1. 9.1. 2012 14-16
Weak and strong disorder in directed polymer models
Introduction to the d+1 dimensional directed polymer model (warning: no connection with polymer physics!). Martingale techniques for proving a central limit theorem in high temperature and localization in the so-called strong coupling regime (low temperature or d=1,2). The expected KPZ behavior in 1+1 dimensions.
Lecture 2. 10.1. 2012 14-16.
The Burke property in M/M/1 queues and directed polymer models
The Burke, or output theorem, is a fundamental result for memoryless queues. An analogous property is valid for special exactly solvable 1+1 dimensional polymer models in both zero and positive temperature. This property furnishes a start for proofs of fluctuation exponents.
Lecture 3. 11 .1. 2012 14-16.
The exactly solvable log-gamma polymer
Results for the 1+1 dimensional log-gamma polymer that follow from the Burke property. A combinatorial approach to the log-gamma polymer through Kirillov's tropical RSK (Robinson-Schensted-Knuth) correspondence.
Crash-course "This sets and convolutions", September 2011
Tom Körner (Cambridge University)
will visit the mathematics department of the University of Helsinki
Weeks 37 and 38 and will lecture the crash course
"This sets and convolutions"
We know that if we convolve a function with itself
the result is smoother. But how much smoother can
it be? I shall develop the the tools from Fourier
analysis and probability theory which enable us to attack
this problem. We shall also look at, more or less,
related problems on Hausdorff dimension and
sets of multiplicity.
Schedule: Weeks 37 and 38, Monday 12-14, Tuesday 14-16 and Friday 12-14 (first lecture Monday 12.9 12-14, altogether 6 lectures,)
Location: D123U Exactum Building.
Minicourse "Some recent connections between ergodic theory and geometric measure theory", August 2011
Pablo Shmerkin (University of surrey)
will lecture about some recent developments on the interaction between geometric and
dynamical aspects of fractal sets and measures. (Course Abstract)
Schedule: Monday at 14-16; all other days at 10-12
Location: University of Oulu, Department of Mathematical Sciences,
(Pentti Kaiteran katu 1), lecture room M101
Contact: Maarit Järvenpää (maarit.jarvenpaa at oulu.fi)
Two lectures on "Analysis and Singularities in Hydrodynamical Flows" by Antonio Córdoba Barba
Monday, May the 30th at 14 in C123 (tentatively)
Antonio Cordoba (Universidad Autonoma, Madrid) :
" Porous media: the Muskat and Hele-Shaw problems ." (Abstract)
Wednesday, June the 1st at 14 in C123
Antonio Cordoba (Universidad Autonoma, Madrid) :
" Integral inequalities for singular integrals and formation of singularities in transport equations ." (Abstract (thttps://wiki.helsinki.fi/download/attachments/33906781/abs-20110601.txt?version=1&modificationDate=1306414112517))
Course "Numerical bifurcation analysis", March 2013
14-18.3.2011 Yuri Kuznetsov (University of Utrecht) will lecture the short course:
"Numerical bifurcation analysis"
Time and Place
Lectures: B120 Mon-Thu 10-12 and D123 Fri 10-12
Computer labs: C128 Mon-Wed and Fri 13-14, Thu 15-16
This intensive course presents modern numerical methods and software for bifurcation analysis of parameter-dependent systems of smooth autonomous ordinary differential equations (ODEs). The main problems are: How to continue equilibria and periodic orbits with respect to a parameter? How to compute stability boundaries of equilibria and periodic orbits (limit cycles) in the parameter space? How to predict qualitative changes in system's behavior (bifurcations) occurring at these boundaries? How to locate and continue homoclinic orbits to equilibria? Only the most efficient methods will be described, which are based on projection and bordering techniques and employ boundary value problems (BVPs). These methods have been recently implemented in MATCONT, an interactive MATLAB bifurcation software for ODEs. An integral part of the course are computer sessions at which the students will learn how to use the latest version of MATCONT. No preliminary knowledge of bifurcation theory is assumed.
Registration by email to Eva Kisdi, max 24 students
Course "Random Matrices and Interacting Particle Systems", February 2011
9-11.2.2011 Patrik Ferrari (University of Bonn) will lecture the short course:
"Random Matrices and Interacting Particle Systems"
Recently some remarkable connections have been found between the mathematical structures of on the one hand some ensembles of random matrices and on the other hand of certain interacting particle systems. The lectures give an introduction to random matrices, particle systems and their connections.
1. Lecture Wednesday 9.2. 14-16 C123
Gaussian Unitary Ensemble of random matrices (GUE): eigenvalue distribution, determinantal correlations and Hermite polynomials, interlacing structure in GUE minors.
2. Lecture Thursday 10.2. 14-16 C123
Totally Asymmetric Simple Exclusion Process (TASEP): interlacing structure in continuous time TASEP, determinantal correlations and Charlier polynomials.
3. Lecture Friday 11.2. 14-16 C123
2+1 dimensional anisotropic growth: particle dynamics, interface interpretation, dynamics on random tiling, two projections: TASEP and random tiling, diffusion scaling limit and GUE minors, discrete time and Aztec diamond.
Course "An Introduction to Non-Homogeneous Harmonic Analysis", October 2010
18-22.10.2010 Michael Lacey (Georgia Institute of Technology) will lecture
the short course:
"An Introduction to Non-Homogeneous Harmonic Analysis"
Time and Place
mo 18.10 10-12
tu 19.10 14-16
we 20.10 14-16
th 21.10 12-14
fr 21.10 14-16
all lectures in B120 Exactum Building
Non-Homogeneous Harmonic Analysis concerns classical operators T, like Maximal Function or Hilbert transform,
but studied on weighted spaces. The goal is to characterize those pairs of weights (u,v) for which T maps L^2(u) to L^2(v).
Such questions occur naturally in a variety of settings, from analytic function spaces, to quasiconformal maps.
For positive operators, like the Maximal Function, Fractional integrals, or Poisson integral, there is a complete theory.
For the Hilbert transform, we have incomplete information, which nevertheless still contains beautiful results.
We will start from the beginning, with a special emphasis on dyadic methods.
Summer School on Mathematical Ecology and Evolution 2010, August 2010
The Helsinki Summer School on Mathematical Ecology and Evolution 2010 - an EMS Summer School in Applied Mathematics
The summer school on mathematical ecology and evolution consists of graduate-level lectures on five topics at the research frontier. More information about the summer school organized in 2010 you find here.
Course Random Complex Zeroes and Random Nodal Lines
April 12 - 16, 2010: RANDOM COMPLEX ZEROES AND RANDOM NODAL LINES
Speaker: Mikhail Sodin (Tel Aviv)
We will discuss the recent progress in understanding the zero sets of two remarkable Gaussian random functions: the Gaussian entire function with invariant distribution of zeroes with respect to isometries of the complex plane, and the Gaussian spherical harmonic on the two-dimensional sphere.
The lectures are based on the results obtained in collaboration with F. Nazarov, B. Tsirelson, and A. Volberg.
Time: April 12 - 16, 2010, in the following lecture rooms:
Monday 12.4. BK107 klo 10-12.
Tuesday 13.4. BK107 klo 12-14.
Wednesday 14.4. BK107 klo 10-12.
Thursday 15.4. C124 klo 12-14
Friday 16.4 C123 klo 14-16
Short course - Monotone/Competitive dynamical systems, October 2009
A short course given by Yi Wang, University of Helsinki. More information:course website.
Baire Category and Probabilistic Methods in Analysis, September 7-20th 2009
Tom Körner (Cambridge University) will teach the course:
"Baire Category and Probabilistic Methods in Analysis" (Abstract)
Lectures will be held
Tuesday 8th and 15th at 10-12 in C123
Wednesday 9th and 16th at 12-14 in B120
Thursday 10th and 17th at 10-12 in C123
Friday 11th and 18th at 10-12 in B120
Course lecture notes are available for download
from Körner's web page in the section
"Notes describing my own work during the past few years"
Jyväskylä Summer School August 2009
MA1: "Tangent of null sets, differentiability of Lipschitz functions, and other problems in geometric measure theory".
Time: 5.-13.8., 14h lectures + 4 h exercises
Lecturer: Prof. Marianna Csörnyei (University College, London)
MA2: "Percolation Theory".
Dates: 5.8-13.8, 14h lectures, 4h exercises
Lecturer: Prof. Jeffrey Steif (Chalmers University of Technology,Göteborg)
More information is available at the
Jyväskylä Summer School web page
3rd Nordic EWM Summer School for PhD Students in Mathematics (CoE co-sponsored) PhD students in pure mathematics, applied mathematics, mathematical statistics, mathematics education or history of mathematics are invited to participate in a summer school in mathematics organized by the European Women in Mathematics (EWM). The summer school is especially aimed at encouraging female students and researchers in their early careers, but we also want to warmly welcome male students. Students outside the Nordic countries, post-docs or advanced undergraduates thinking of PhD studies are invited to attend as well. More information: school website. The school is co-sponsored by the CoE Analysis and Dynamics.
Berezin transform in polynomial Bergman spaces and fluctuations of eigenvalues of random normal matrices, 27 and 30 October 2008
Short course given by Håkan Hedenmalm (Royal Institute of Technology, Stockholm) at the University of Helsinki (Kumpula campus, Exactum) between 27 and 30 October 2008 (Mon-Thu). Lectures each day 10-12 in room B222.
Lectures by Karl Hadeler, 29 September and 2 October 2008
Karl Hadeler (University of Tübingen and Arizona State University) gives a series of five lectures between 29 September and 2 October 2008 in the Exactum building of Kumpula:
- Dynamical systems with quiescence (Monday 29 September, 10-12, lecture room D122)
- Equilibrium configurations of granular matter (Monday 29 September, 14-16, lecture room D122)
- Random walks and diffusion equations (Tuesday 30 September, 14-16, lecture room D123)
- Forward and backward problem of traveling front (Wednesday 1 October, 10-12, lecture room D122)
- TBA (Thursday 2 October, 12-14, lecture room D123)
The Helsinki Summer School on Mathematical Ecology and Evolution
The summer school on mathematical ecology and evolution consists of graduate-level lectures on five topics at the research frontier. More information about the summer school organized in 2008 you find here.
Non-classical noises, 10-14 March 2008
Short course given by Boris Tsirelson (School of Mathematics, Tel Aviv University) at the University of Helsinki (Kumpula campus, Exactum) between 10 and 14 March 2008 (Mon-Fri).
Many people know white noise. However, there are many other important noises that have been rigorously studied recently. Boris Tsirelson (Tel Aviv University) will give an introduction to these 'non-classical' noises. Among other things he is well-known for his contributions to the theory of black noise. Welcome !
Time and place:
Mon 10.30 - 11.30 in room C323
Tue 12.15 - 14.00 in room C323
Wed 10.15 - 12.00 in room C323
Thu 10.15 - 12.00 in room C323
Fri 10.15 - 12.00 in room B120
A DAY OF ANALYSIS AND DYNAMICS
Thursday May 29, 2008 10.30-16.00 Lecture room D123
The Academy of Finland Center of Excellence in Analysis and Dynamics presents a day of lectures aimed for a general mathematical audience
10.30 A. Kupiainen: "Towards a proof of Fourier's law"
11.30 M.Gyllenberg: "Volterra functional equations inspired by population dynamics"
14.00 K. Astala: "The non-linear Fourier transform for the conductivity equation"
15.00 E. Järvenpää: "Dimensions of visible parts"
EVERYBODY WELCOME !
More information will be available later.
23 October 2013 - Biomathematics Day 11
A full-day seminar on Wednesday 23 October 2013, in Kumpula, Exactum. More information: http://mathstat.helsinki.fi/research/biomath/ -> Biomathematics Days.
9 October 2013 - Dynamics Day
The Finnish Centre of Excellence in Analysis and Dynamics Research arranges a one day meeting devoted to different aspects of dynamical systems on Wednesday October 9, 2013 in the Exactum Building of the Kumpula Campus of the University of Helsinki. Everybody is cordially invited to attend!
Morning session (room D123) 10 - 12
10.15 - 11.00 Mikko Stenlund (University of Helsinki): TBA
11.15 - 12.00 Chun Fang (University of Helsinki): Central dimension one minimal sets for tridiagonal competitive-cooperative systems
Afternoon session (room C123) 14-16
14.15 - 15.00 Janusz Mierczynski (Wrocław University of Technology): Estimates of Principal Lyapunov Exponents
15.15 - 16.00 Yi Wang (University of Science and Technology of China, Hefei): TBA
This program is directly followed by the regular post-doc seminar (in room CK112),
16.15 - 17.00 Neil Dobbs (University of Helsinki): TBA
15 May 2013 - Biomathematics Day 10
A full-day seminar on Wednesday 15 May 2013, in Kumpula, Exactum. More information: http://mathstat.helsinki.fi/research/biomath/ -> Biomathematics Days.
14 May 2012 - Biomathematics Day 9
A full-day biomathematics seminar on Wednesday 14 May 2012, in Kumpula, Exactum. Program and venue: pdf . Registration by email to firstname.lastname@example.org.
18 April 2012 - Biomathematics Day 8
A full-day biomathematics seminar on Wednesday 18 April 2012, in Kumpula, Exactum. Program and venue: pdf . Registration by email to email@example.com.
24 November 2010 - Biomathematics Day 5
A full-day seminar on Wednesday 24 November 2010, in Kumpula, Exactum, room D123. More information:http://mathstat.helsinki.fi/research/biomath/ -> Biomathematics Days.
9 June 2010 - Biomathematics Day 4
A full-day seminar on Wednesday 9 June 2010, in Kumpula, Exactum, Auditorium B123. More information:http://mathstat.helsinki.fi/research/biomath/ -> Biomathematics Days, registration (free) by email to eva.kisdi[funny character]helsinki.fi.
20-21 May 2010 - CoE Scientific Advisory Board meeting
20-21 May 2010 Scientific Advisory Board meeting of the Finnish Centre of Excellence in Analysis and Dynamics Talk and Event program
28 October 2009 - Biomathematics Day 3
A full-day seminar on Wednesday 28 October 2009, in Kumpula, Exactum. Program and venue: pdf.
More information: tadeas.priklopil[funny character]helsinki.fi and petr.ondracek[funny character]helsinki.fi.
Special seminars by Smirnov and Beffara
Friday 2 October 2009, room C124
13.30 14.30 Vincent Beffara (ENS, Lyon):
"2D statistical mechanics and random walks"
15.00-16.00 Stanislav Smirnov (Geneva): "Percolation and Black Noise".
A full-day seminar on Wednesday 29 June 2009, in Kumpula, Exactum. Program: pdf; more information: barbara.boldin[funny character]helsinki.fi. Welcome!
First research seminar
10 March (Monday) 13.00 - 16.45 in auditorium CK112 (Kumpula campus, Exactum)
13.00 - 14.00 Ilkka Hanski (Department of Biological and Environmental Sciences, University of Helsinki): Spatial patterns of coexistence of competing species in patchy habitats
14.00 - 14.30 Coffee
14.30 - 15.30 Kurt Johansson (Mathematics Institute, Royal Institute of Technology, Stockholm): Random matrix universality
15.45 - 16.45 Boris Tsirelson (School of Mathematics, Tel Aviv University): Moderate deviations for random fields and random complex zeroes
28 May 2008 (Wednesday) 14-16 in room C123 (Exactum, Kumpula)
Peter W. Jones (Yale University): Diffusion Geometry and Local Uniformization by eigenfunctions.