Browsing 2018 by MFO Scientific Program "Research in Pairs 2017"

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Deformation Classification of Real Non-Singular Cubic Threefolds with a Marked Line

[OWP-2018-02] Finashin, Sergey; Kharlamov, Viatcheslav (Mathematisches Forschungsinstitut Oberwolfach, 2018-02-21)

We prove that the space of pairs $(X,l)$ formed by a real non-singular cubic hypersurface $X\subset P^4$ with a real line $l\subset X$ has 18 connected components and give for them several quite explicit interpretations. ...
Homogenization of a nonlinear monotone problem with nonlinear Signorini boundary conditions in a domain with highly rough boundary

[OWP-2018-06] Gaudiello, Antonio; Mel'nyk, Taras A. (Mathematisches Forschungsinstitut Oberwolfach, 2018-04-16)

We consider a domain $\Omega_\varepsilon\subset\mathbb{R}^N$ , $N\geq2$ , with a very rough boundary depending on~ $\varepsilon$ . For instance, if $N=3$ the domain $\Omega_\varepsilon$ has the form of a brush with an ...
The Martin Boundary of Relatively Hyperbolic Groups with Virtually Abelian Parabolic Subgroups

[OWP-2018-03] Dussaule, Matthieu; Gekhtman, Ilya; Gerasimov, Victor; Potyagailo, Leonid (Mathematisches Forschungsinstitut Oberwolfach, 2018-03-19)

Given a probability measure on a finitely generated group, its Martin boundary is a way to compactify the group using the Green's function of the corresponding random walk. We give a complete topological characterization ...