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# Documents  Marin, Ivan | enregistrements trouvés : 5

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## Braids and Galois groups Matzat, B. Heinrich | CIRM

Post-edited

Research talks;Algebraic and Complex Geometry;Number Theory;Topology

arithmetic fundamental group - Galois theory - braid groups - rigid analytic geometry - rigidity of finite groups

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## Report on the BMR freeness conjecture Marin, Ivan | CIRM

Multi angle

Research talks;Algebra

I will present arguably the most basic one among the set of conjectures stated in 1998 by Broue, Malle and Rouquier (following early work by Broue and Malle) about the generalized Iwahori-Hecke algebras associated to complex reflection groups. By a combination of several kind of arguments and lots of hand-writen as well as computer-assisted calculations, it seems that a complete proof is now within reach. I will report on recent progress by my PhD student E. Chavli, as well as on a recent work by G. Pfeiffer and myself on this topic. I will present arguably the most basic one among the set of conjectures stated in 1998 by Broue, Malle and Rouquier (following early work by Broue and Malle) about the generalized Iwahori-Hecke algebras associated to complex reflection groups. By a combination of several kind of arguments and lots of hand-writen as well as computer-assisted calculations, it seems that a complete proof is now within reach. I will report on recent progress by my ...

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## Quantum symmetry of conformal blocks andrepresentations of braid groups at roots of unity Kohno, Toshitake | CIRM

Multi angle

Research talks;Geometry;Topology

braid groups - conformal blocks - KZ equation - quantum group symmetry - hypergeometric integrals - Gauss-Manin connection

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## Logarithms and deformation quantization Alekseev, Anton | CIRM

Multi angle

Research talks;Algebra;Geometry

We prove the statement$/$conjecture of M. Kontsevich on the existence of the logarithmic formality morphism $\mathcal{U}^{log}$. This question was open since 1999, and the main obstacle was the presence of $dr/r$ type singularities near the boundary $r = 0$ in the integrals over compactified configuration spaces. The novelty of our approach is the use of local torus actions on configuration spaces of points in the upper half-plane. It gives rise to a version of Stokes' formula for differential forms with singularities at the boundary which implies the formality property of $\mathcal{U}^{log}$. We also show that the logarithmic formality morphism admits a globalization from $\mathbb{R}^{d}$ to an arbitrary smooth manifold. We prove the statement$/$conjecture of M. Kontsevich on the existence of the logarithmic formality morphism $\mathcal{U}^{log}$. This question was open since 1999, and the main obstacle was the presence of $dr/r$ type singularities near the boundary $r = 0$ in the integrals over compactified configuration spaces. The novelty of our approach is the use of local torus actions on configuration spaces of points in the upper half-plane. It gives rise ...

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## Faithful actions of Gal($\mathbb{\bar{Q} /Q}$) and change of fundamental group Bauer, Ingrid C. | CIRM

Multi angle

Research talks;Algebraic and Complex Geometry;Number Theory

hyperelliptic curves - Belyi functions - absolute Galois group - Belyi polynomials - marked varieties - moduli spaces

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