# Mathematics Calendar

Monday, February 19, 2018 - 11:00

Urania, BMS Loft

An der Urania 17, 10787 Berlin

MONDAY, 19 February 2018, 11:00

Sylvie Roelly: (Random) dynamical sphere packing

We consider finite (and infinite) systems of hard balls in Euclidean space, undergoing random dynamics and interacting via a mutual attraction force. Such evolutions, solutions of stochastic differential equations, converge asymptotically in time towards equilibrium states, which are connected with the famous geometry problem of close-packing of equal spheres.

Sylvie Roelly is the professor for probability theory at the University of Potsdam. Her areas of research include stochastic analysis, interacting particle systems and statistical mechanics.

MONDAY, 19 February 2018, 15:30

Timo de Wolff: An introduction to nonnegativity and polynomial optimization

In science and engineering, we regularly face nonlinear polynomial optimization problems. Solving these problems is essentially equivalent to certifying nonnegativity of multivariate, real polynomials -- a key problem in real algebraic geometry since the 19th century.

In his talk, de Wolff will discuss how to tackle such problems both from the perspective of algebra and optimization.

Timo de Wolff is the head of the Emmy Noether Junior Research Group at the TU Berlin. His research is focused on real and computational algebraic geometry, and nonlinear optimization.

TUESDAY, 20 February 2018, 11:00

Frank Noé: Finding tiny black swans: Mathematics for the very small and the very rare

Structure and dynamics of molecules are what constitute life and matter. However, (i) molecules are very small, but most processes are very multiscale, (ii) good simulation models are expensive, (iii) relevant structure changes are very rare. The resulting direct numerical simulations are completely intractable, but real progress can be made by combining key mathematical ideas with machine learning and high-performance computing.

Frank Noé is a professor for mathematics and computer science at the FU Berlin. His research interests include the development of novel mathematical and machine learning methods for biophysics and computational chemistry.

TUESDAY, 20 February 2018, 15:30

Bruno Klingler: What is... the Hodge conjecture?

Algebraic topology (the study of shapes up to deformation) and algebraic geometry (the study of solutions to polynomial equations) have been deeply intertwined since the end of the 19th century. The purpose of this talk will be to illustrate this interaction through an elementary presentation of the Hodge conjecture, an innocent-looking problem proposed by W. Hodge in 1950.

Bruno Klingler is the Einstein professor for algebra at the HU Berlin. His main research interest lies in the relationship of the topology of varieties and their algebraic and arithmetic structures.

Sylvie Roelly: (Random) dynamical sphere packing

We consider finite (and infinite) systems of hard balls in Euclidean space, undergoing random dynamics and interacting via a mutual attraction force. Such evolutions, solutions of stochastic differential equations, converge asymptotically in time towards equilibrium states, which are connected with the famous geometry problem of close-packing of equal spheres.

Sylvie Roelly is the professor for probability theory at the University of Potsdam. Her areas of research include stochastic analysis, interacting particle systems and statistical mechanics.

MONDAY, 19 February 2018, 15:30

Timo de Wolff: An introduction to nonnegativity and polynomial optimization

In science and engineering, we regularly face nonlinear polynomial optimization problems. Solving these problems is essentially equivalent to certifying nonnegativity of multivariate, real polynomials -- a key problem in real algebraic geometry since the 19th century.

In his talk, de Wolff will discuss how to tackle such problems both from the perspective of algebra and optimization.

Timo de Wolff is the head of the Emmy Noether Junior Research Group at the TU Berlin. His research is focused on real and computational algebraic geometry, and nonlinear optimization.

TUESDAY, 20 February 2018, 11:00

Frank Noé: Finding tiny black swans: Mathematics for the very small and the very rare

Structure and dynamics of molecules are what constitute life and matter. However, (i) molecules are very small, but most processes are very multiscale, (ii) good simulation models are expensive, (iii) relevant structure changes are very rare. The resulting direct numerical simulations are completely intractable, but real progress can be made by combining key mathematical ideas with machine learning and high-performance computing.

Frank Noé is a professor for mathematics and computer science at the FU Berlin. His research interests include the development of novel mathematical and machine learning methods for biophysics and computational chemistry.

TUESDAY, 20 February 2018, 15:30

Bruno Klingler: What is... the Hodge conjecture?

Algebraic topology (the study of shapes up to deformation) and algebraic geometry (the study of solutions to polynomial equations) have been deeply intertwined since the end of the 19th century. The purpose of this talk will be to illustrate this interaction through an elementary presentation of the Hodge conjecture, an innocent-looking problem proposed by W. Hodge in 1950.

Bruno Klingler is the Einstein professor for algebra at the HU Berlin. His main research interest lies in the relationship of the topology of varieties and their algebraic and arithmetic structures.

submitted by Fagel (fagel@math.tu-berlin.de, +493031478653)