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Abstracts for MPI-Oberseminar

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On the generalized Leibniz rule

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Speaker: 
Samson Saneblidze
Datum: 
Don, 2011-12-15 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

We give the notion of a derivation with respect to a family of  maps
such that the composition operation for maps is closed under this
notion. In particular,  the Leibniz rule agrees with the derivation with
respect to a pair of identity maps. We discuss some motivated examples.
 

Zero sets of real polynomials containing complex varieties

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Speaker: 
Nguyen Quang Dieu
Zugehörigkeit: 
Ha Noi National University of Education, Vietnam
Datum: 
Don, 2011-12-22 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

We give necessary conditions in terms of defining
function for real algebraic hypersurface (possibly with singularities)
to contain nontrivial germs of complex hypersurfaces.
This result is useful in view of {\sl the one side extension} phenomenom
due to Trepeau.
Moreover, if a real hypersurface $S$ in $\bold C^2$ is
defined by a real polynomial of a sufficiently general form and if $S$
contains a nontrivial analytic disk, then, using the abobe result, we
show that $S$ must contain certain complex lines.
 

Higher Segal spaces

Posted in
Speaker: 
Mikhail Kapranov
Zugehörigkeit: 
Yale
Datum: 
Don, 2012-01-12 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
Higher Geometric Structures along the Lower Rhine
Parent event: 
MPI-Oberseminar

A Segal space is a simplicial topological space $X = (X_n)$ with a certain condition expressing $X_n$ as an $n$-fold homotopy fiber product of $X_1$ over $X_0$. This concept can be seen as encoding a weak (higher) categorical structure.

Deformations of the Killing spinor equation on Sasaki-Einstein and 3-Sasaki manifolds

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Speaker: 
Craig van Coevering
Datum: 
Don, 2012-01-19 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

new guests of the MPIM

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Speaker: 
E. Meir, F. Gilibert, A. Kahle, A. Pal
Datum: 
Don, 2012-01-26 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Topological properties of algebraic maps and support theorems

Posted in
Speaker: 
L. Migliorini
Datum: 
Don, 2012-02-02 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

The Hanna Neumann Conjecture

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Speaker: 
Igor Mineyev
Zugehörigkeit: 
U. of Illinois at Urbana-Champaign/MPI
Datum: 
Mon, 2012-02-06 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

The Hanna Neumann Conjecture (HNC) is a question about intersections of
subgroups in free groups; it has been open since 1956-57. Its strengthened version,
SHNC, was introduced by Walter Neumann. I will present a proof of SHNC.
The proof can be stated in an analytic language or purely combinatorially.
I will mostly concentrate on the combinatorial proof in this talk.
My plan is to give another talk at MPI later on about the analytic way

Derived Algebraic Geometry and Obstruction Theories

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Speaker: 
Timo Schuerg
Zugehörigkeit: 
Mainz/MPI
Datum: 
Don, 2012-02-09 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

In the past years several flavors of derived geometry have
appeared both in algebraic and in in differential geometry. I will try
to give a short overview and mention how they are connected.
We then focus on Lurie's and Toen-Vezzosi's derived algebraic
geometry. I will discuss two examples that hopefully motivate why this
is an interesting theory.

New guests of the MPI (Please note the time!)

Posted in
Speaker: 
Xavier Guitart, Giorgio Trentinaglia, Ziyu Zhang, Michael Bernhard Wiemeler
Datum: 
Don, 2012-02-23 14:00 - 15:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Analogy between Anderson T-motives and abelian varieties with multiplication by imaginary quadratic fields, and related problems

Posted in
Speaker: 
D. Logachev
Zugehörigkeit: 
z.Z. MPI
Datum: 
Don, 2012-03-01 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

Anderson T-motives are the functional field analogs of
abelian varieties, but this analogy is rather weak. For example, the
analogs of dimension $g$ of an abelian variety are 2 numbers:
dimension $n$ and rank $r$. There exists a more strong analogy between
Anderson T-motives of dimension $n$ and rank $r$ and abelian varieties
of dimension $r$ with multiplication by an imaginary quadratic field
$K$ (MIQF), of signature $(n, r-n)$, because both objects have the
same Deligne group $GU(n, r-n)$.

This analogy permits us to get 2 results in the theory of abelian

 

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