Skip to main content

Mats Gyllenberg: Rock, scissors, paper — what a children's game can tell us about evolution

Mats Gyllenberg, University of Helsinki

Time: Wed 2012-03-14 14.30 - 15.30

Location: Oskar Klein auditorium, Alba Nova

It is a wide spread misconception that evolution optimizes some quantity like "fitness" or reproductive success. In this talk I give a brief introduction to adaptive dynamics, which is a mathematical theory that explicitly takes into account the interaction between population dynamics (ecology) and evolution by natural selection. Using the well-known rock-scissors-paper-game as a metaphor, I give necessary and sufficient conditions for when there is a function which is optimized by natural selection. It turns out that evolutionary optimization is extremely rare and hardly can happen in nature.

Schedule

13:30-14:15     Precolloquium for PhD and master students
14:30-15:30     Colloquium lecture by Mats Gyllenberg
15:30-16:30     Coffee and SMC social get-together

About the speaker

Mats Gyllenberg was born in Helsinki and studied mathematics and microbiology at the Helsinki University of Technology from which he received his Doctorate of Technology. In 1989, at the age of 33, he was appointed professor of Applied Mathematics at Luleå University of Technology. He was professor at Univeristy of Turku from 1992 to 2004, when he was asked to take up a chair at the University of Helsinki. Since 2008 he has been Head of Department of Mathematics and Statistics at the University of Helsinki.

Mats Gyllenberg was a visiting researcher at Mathematisch Centrum in Amsterdam in 1984-1985 and a visiting professor at Vanderbildt Univeristy in Nashville, Tennessee in 1985-1986, at the National Center for Ecological Analysis and Synthesis, Santa Barbara, California in 1996, at Chalmers University of Technology, Gothenburg in 1998, at the University of Utrecht in 1997 and 2007. In 2006 he held the F.C. Donders Visiting Chair of Mathematics at the University of Utrecht.

Mats Gyllenberg is a very prolific mathematician who has published two books and more than 200 journal papers. He has very broad interests ranging from pure mathematics (in particular functional analysis), stochastic processes, ordinary differential equations to applications in biology and medicine.

Mats Gyllenberg is the Editor in Chief of the Journal of Mathematical Biology and Differential and Integral Equations and a member of the Editorial Board of a number of journals. He is a member of the Finnish Academy of Science and Letters, The Finnish Society of Sciences and Letters, Swedish Academy of Engineering Sciences in Finland, and European Academy of Sciences.

Mats Gyllenberg is an excellent teacher and lecturer and popularizer of mathematics. He is often asked to give studia generalia lectures at universities and public lectures at science museums, art galleries and cultural festivals.

Outside academia Mats Gyllenberg's main interests are cooking (mainly French cuisine) on a daily basis and not only for special occasions, and fine wine. His cellar contains 650 bottles of mainly Claret and Burgundy.

Title Date
Philip Maini: Modelling collective cell motion Sep 26, 2018
Leslie Greengard: Inverse problems in acoustic scattering and cryo-electron microscopy Apr 11, 2018
James Norris: Scaling limits for planar aggregation with subcritical fluctuations Mar 21, 2018
Sofia Olhede: Network Data Analysis Feb 07, 2018
Viviane Baladi: Analytical tools for dynamics with singularities, including Sinai billiards Nov 29, 2017
Gerard van der Geer Sep 27, 2017
János Pach Jun 07, 2017
Alicia Dickenstein Apr 05, 2017
Arno Kuijlaars: Universality in random matrix theory Feb 25, 2017
Karen Smith Dec 07, 2016
Jeff Steif: Noise Sensitivity of Boolean Functions and Critical Percolation Oct 28, 2016
Martin Hairer: Taming infinities. Sep 29, 2016
Mattias Jonsson: Complex, tropical and non-Archimedean geometry Jun 01, 2016
Yulij Ilyashenko: Towards the global bifurcation theory on the plane Apr 27, 2016
Volodymyr Mazorchuk: (Higher) representation theory Mar 09, 2016
Tobias Ekholm: Knot contact homology, Chern-Simons, and topological strings Feb 10, 2016
Dmitry Khavinson: "Between two truths of the real domain, the easiest and shortest path quite often passes through the complex domain." P. Painleve, 1900. A variation on the theme of analytic continua Dec 12, 2015
Kathryn Hess: A calculus for knot theory Nov 06, 2015
Gregory F. Lawler: Self-avoiding motion Oct 09, 2015
Claudio Procesi: Analytic and combinatorial aspects of the Non Linear Schroedinger equation (NLS) on a torus May 27, 2015
Alexander Razborov: Continuous Combinatorics Mar 18, 2015
Christiane Tretter: Operator theory and applications: a successful interplay Feb 04, 2015
Michael Rathjen: Is Cantor’s continuum problem still open? Oct 15, 2014
Irene Fonseca: Variational Methods in Materials and Image Processing Sep 03, 2014
Ib Madsen: Moduli Spaces and Topology Jun 11, 2014
Mikko Salo: Can one hear the shape of a space? Mar 27, 2014
Svante Janson: Random Graphs Jan 29, 2014
Mireille Bousquet-Mélou: Self-avoiding walks May 07, 2014
Kristian Seip: Analysis on polydiscs Nov 27, 2013
Bernd Sturmfels: The Euclidean Distance Degree Oct 09, 2013
Christoph Thiele: L^p theory for outer measures and applications Sep 25, 2013
Antti Kupiainen: Critical Multiplicative Chaos May 15, 2013
Günther Uhlmann: Cloaking: Science Meets Science Fiction Apr 24, 2013
Anatoliy Fomenko: Topological classification of Hamiltonian equations with symmetries. Application to physics and mechanics Feb 27, 2013
Jan-Erik Roos: Classical Lie algebras contra infinite-dimensional positively graded Lie algebras Feb 06, 2013
Hendrik Lenstra: Escher and the Droste effect Dec 12, 2012
Bo Berndtsson: Complex Brunn-Minkowski theory Nov 21, 2012
Martin Aigner: From Irrational Numbers to Perfect Matchings: 100 Years of Markov’s Uniqueness Problem Oct 10, 2012
Vladimir Rokhlin: Accurate Randomized Algorithms of Numerical Analysis May 19, 2012
Martin R. Bridson: Discrete groups: A story of geometry, complexity, and imposters Apr 11, 2012
Mats Gyllenberg: Rock, scissors, paper — what a children's game can tell us about evolution Mar 14, 2012
Persi Diaconis: Who Needs Positivity? Feb 10, 2012
Wendelin Werner: Random surfaces, random geometries Dec 14, 2011
Ragni Piene: The problematic art of counting Nov 16, 2011
Günter M. Ziegler: On some partition problems and their configuration spaces Oct 12, 2011
Carles Broto: Local aspects of groups and loop spaces May 11, 2011
Bernd Sturmfels: Quartic Curves and their Bitangents Feb 02, 2011
Torsten Ekedahl: The Sato-Tate conjecture Nov 03, 2010
Jesper Grodal: Finite loop spaces Nov 10, 2010
Amol Sasane: An analogue of Serre’s Conjecture and Control Theory Oct 13, 2010
Reiner Werner: Quantum correlations - how to prove a negative from finitely many observations Sep 29, 2010
Warwick Tucker: Validated Numerics - a short introduction to rigorous computations Sep 22, 2010
Idun Reiten: Cluster categories and cluster algebras Sep 01, 2010
Stefano Demichelis: Use and misuse of mathematics in economic theory May 26, 2010
Gregory G. Smith: Old and new perspectives on Hilbert functions Apr 14, 2010
Tony Geramita: Sums of Squares: Evolution of an Idea. Mar 31, 2010
Jens Hoppe: Non-commutative curvature and classical geometry Mar 24, 2010
Margaret Beck: Understanding metastability using invariant manifolds Mar 03, 2010
Jan-Erik Björk: Glimpses from work by Carleman Feb 10, 2010
Sandra Di Rocco: Interaction between Convex and Algebraic Geometry Dec 16, 2009
Alexander Gorodnik: Arithmetic Geometry and Dynamical Systems Nov 18, 2009
Laurent Bartholdi: Insanely twisted rabbits Nov 18, 2009
Nils Dencker: The spectral instability of differential operators Nov 04, 2009
Peter Jagers: Extinction: how often, how soon, and in what way? Oct 21, 2009
Norbert Peyerimhoff: Expander graphs — some background and new examples Oct 07, 2009
Saharon Shelah: Hilbert's First Problem and the number four Sep 23, 2009
Jürg Kramer: Irrationality of √2 and Arakelov Geometry Sep 09, 2009