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## MPI-Oberseminar

The Oberseminar is a very long running seminar at MPI (‘Ober‘ standing for 'upper'). Its idea is that the guests of the MPI speak in this seminar (hopefully early in their stay) and get the chance to explain their work to the other guests.

## Friedrich Hirzebruch Lecture

The annual Friedrich Hirzebruch Lecture is a series of lectures started in 2007 on the occasion of the 80th birthday of Prof. Friedrich Hirzebruch. The lectures address a general audience and aim at illustrating the relation between mathematics and art, society and other fields.

## Arbeitstagung 2017 on "Physical Mathematics" in honor of Yuri Manin

#### Organizers

C. Blohmann, M. Kapranov, P. Teichner, B. Vallette

#### Speakers

## Modular Forms are everywhere

## Young Women in Geometry

## Registration **Participants ****Practical Information**

This meeting is part of the series of workshops Young Women in...

## Ternary algebras with $Z_2$ and $Z_3$ grading and generalized representations of the Lorentz group

We discuss cubic and ternary algebras which are a direct generalization of Grassmann and Clifford algebras, but with $Z_3$-grading replacing the usual $Z_2$-grading. Combining $Z_2$ and $Z_3$ gradings results in algebras with $Z_6$ grading, which are also investigated.

Elementary properties and structures of such algebras are discussed, with special interest in low-dimensional ones, with two or three generators.

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## Generalised Yangians and their Poisson counterparts

By a generalized Yangian I mean a Yangian-like algebra of one of two classes. One of

them consists of the so-called braided Yangians, recently introduced by myself and

Pavel Saponov. The braided Yangians are in a sense similar to the reflection equation algebra.

The generalized Yangians of second class, called the Yangians of RTT type, are defined by the

same formulae as the usual Yangians are but with other quantum $R$-matrices. If such an

$R$-matrix is the simplest trigonometrical $R$-matrix, the corresponding Yangian of RTT type

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## Motivic realizations of matrix factorizations II

of vanishing cycles over a dvr and present some elements of the proof that the

*l*-adic realization of

matrix factorization is given by vanishing cohomology. Finally we hope to put the result in perspective