[geometry-ml:01645] Seminar at Kavli IPMU on 2013 Jan 17 Kapranov

[Satoshi Kondo]

Dear colleagues:

There will be a seminar as follows at Kavli IPMU
(Kavli Institute for the Physics and Mathematics of
the Universe).

Regards,

Satoshi Kondo (Kavli IPMU)
http://www.ipmu.jp/
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Speaker:	 Mikhail Kapranov (Yale)

Title:	 Triangulations, Hall algebras and membrane spaces

Date:	Thu, Jan 17, 2013, 13:15 - 14:45

Place:	Lecture Hall

Abstract:	 A triangulation can be seen as a discrete analog of a
Riemannian metric (gravitational field) on a space. I will discuss
several directions of research which have led to triangulations in an
unexpected way. In ``classical" algebra, triangulations govern
discriminants of polynomials. In 2 dimensions, triangulations are
related to associativity conditions in abstract algebra. An important
example is provided by Hall algebras, associative algebras appearing
in theories of quantum groups and automorphic forms. For Hall algebras
related to algebraic curves, commutation relations involve zeta
functions. Further, associativity of Hall algebras is a manifestation
of a finer structure (2-Segal space) involving triangulated polygons
and spaces of polygonal membranes. Other examples of 2-Segal spaces
can be constructed using spaces of holomorphic maps from hyperbolic
polygons into complex manifolds.
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You can check the location from
http://www.ipmu.jp/access-0
The schedule of the seminar can be checked from
http://db.ipmu.jp/seminar/