Talk

A flow is a bivariate function (the first variable belongs to a
certain space while the second is a "time") which satisfies a natural
iterative functional equation. The aim of this talk is to describe a new
field of projective flows and its manifold aspects, including topology,
combinatorics (Polya urns), number theory (elliptic curves, elliptic and
abelian functions), linear PDEs, birational geometry (Cremona groups),
algebraic geometry, projective flows over finite fields, and group
representations (symmetries of flows).

An algebraic Poincare complex over a ring with involution A
is an A-module chain complex with Poincare duality, such as is exhibited by a chain complex of a manifold. The algebraic Poincare cobordism groups are the Wall surgery obstruction groups L_*(A),
Even after 45 years the L-groups are somewhat mysterious, with
deep significance in the topology of manifolds.

• Describe the model structure on Segal n-categories (See Simpson’s book and compare with Bergner and J

• Explain the nerve construction of Lack and Paoli.
• • Read more

We want to welcome new IMPRS students, who will give a short lecture about their mathematical interests, and hear from some experienced students about their thesis projects.

Then some long term scientists at MPIM will briefly spell out their research directions, with the aim of letting you know who you can ask for help (in the house) if you run into a related question.

As usual, this event is open to everybody at MPIM but may be most interesting for our postdoctoral fellows.