**Next seminar:**

__Speaker__: ** Jorge Jiménez Urroz **, Universitat Politècnica de Catalunya.

__Title__: ** On pairs of integers which are mutually square **, Fre, 18 mars, 11.15-12.15, **UU**, Ång 4006

__Abstract__
Abstract: We provide the right asymptotic, up to the constant, for the number of
pairs of integers a < = A, b < = B so that a is a square residue modulo b
and viceversa.
The techniques include a proper sieve of the squares, and then some
integration of L functions via Perron's Formula, together with some
estimates of character sums.

**Past seminars, fall 2009-spring 2011:**

**Corina Ulcigrai**, University of Bristol:
** Ergodic properties of area-preserving flows on surfaces **, Feb 25, 11.15-12.15

**Magnus Aspenberg**, Jacobs University, Bremen:
**Small divisors and binomial recursions**, Dec 7, 15.15-16.15

**Masha Saprykina**, KTH:
**Examples of Hamiltonian systems with Arnold diffusion**, Nov 9, 13.15-14.15

**Hans Koch**, University of Texas at Austin:
**Computer-assisted analysis of some elliptic and parabolic PDEs**, Oct 13, 13.15-14.15

**Hans Koch**, University of Texas at Austin:
**Break up of invariant tori, and Universality**, Oct 12, 13.15-14.15

**Thomas Jordan**, Bristol University: **Dimension of numbers with strictly increasing continued fraction expansion**, Sept 14, 10.15-11.15.

**Walter Craig**, McMAster University: ** On the size of the Navier - Stokes singular set**, May 21, 13.15-14.15.

**Min Lee**, Columbia University: ** Approximate converse theorem for GL(3)**, May 19,
15:15-16.15.

**Michael Yampolsky**, University of Toronto: ** Computablity and complexity of Julia
sets**, May 3, 15:15-16.15, May 4 13:15-14:15.

**Alexey Teplinsky**, Natl. Acad. Sc. of Ukraine: ** Rigidity theory for circle
diffeomorphisms with singularities**, April 16, 13:15-14.15.

**Mark Pollicott**, University of Warwick: ** Dynamical Zeta function: past
results and future prospects**, March 24, 13:15-14.15.

**Henk Bruin**, University of Surrey: ** Lebesgue ergodic behaviour for Fibonacci-like
interval maps**, March 15, 13:15-14.15.

**Ale Jan Homburg**, University of Amsterdam: **Bifurcations from homoclinic networks**,
March 5, 13.15-14.15

**Camilla Hollanti**, University of Turku: **Applications of
algebraic number theory in space-time coding**, March 4, 13.15-14.15

**Niklas Brännström**, University of Helsinki: **Drift in the slow dynamics of
an a-priori chaotic slow-fast Hamiltonian system**, Feb 12, 13.15-14.15

**Jimi Truelsen**, Cambridge: **Mass equidistribution of Eisenstein series on GL(2)**, Nov 23,
11.15-12.15

**Neil Dobbs**, KTH: **Typical behaviour in exponential dynamics**, Thur, Oct 22th, 13:15.

**Sergey Kuznetsov**, Saratov University, Russia: ** Examples of realizable systems with
hyperbolic attractors**, Oct 15, 13:15

**Konstantin Khanin**, Toronto: ** Renormalization and rigidity in one-dimensional dynamics**, Oct 13, 13:15

John H. Hubbard, Cornell University : ** Pinched ball models for Henon maps** (with Remus Radu and Reluca Tanase), **Oct 9, 14:15**, Abstract.

Ilya V. Schurov, National Research University Higher School of Economics, Russia : ** Slow-fast dynamics in differential equations and maps**, **May 3, 2013, 9:00, KTH**, Abstract.