ODTÜ-BİLKENT Algebraic
Geometry Seminar
(See all past talks ordered according
to speaker or date)
Refresh this page to see recent changes, if any
**** 2026 Spring Talks ****
This
semester we plan to have all of our seminars online
Öznur
Turhan - [Galatasaray & Polish Academy] - Newton-nondegenerate line singularities, Lê
numbers and Bekka (c)-regularity
| Abstract: Consider an
analytic function $f(t,z)$ defined in a
neighbourhood of the origin of
$\mathbb{C}\times\mathbb{C}^n$ such that for
all $t$, the function $f_t(z):=f(t,z)$ defines a
hypersurface of $\mathbb{C}^n$
with a line singularity at $0\in\mathbb{C}^n$. Denote by
$V(f)$ the hypersurface of $\mathbb{C}\times\mathbb{C}^n$ defined by
$f(t,z)$ and write $Σf$ for its singular locus. We
assume that $f_t$ is ''quasi-convenient'' and
Newton nondegenerate. Within this framework, we
show that if the Lê numbers of $f_t$ are
independent of $t$ for all small $t$, then $Σf$ is
smooth and $V(f)\backslash Σf$ is Bekka
(c)-regular over $Σf$. This is a version for line
singularities of a result of Abderrahmane
concerning isolated singularities. As a corollary, we obtain that any family of quasi-convenient, Newton non-degenerate, line singularities with constant Lê numbers as above is topologically equisingular. In particular, this applies to families with non-constant Newton diagrams, and therefore extends, in some direction, a result previously observed by Damon. This is a joint work with Christophe Eyral. |
Meral Tosun - [Galatasaray] - McKay quivers for quotient singularities
|
Abstract: TBA |
|
Abstract: |
|
Abstract: |
|
Abstract: |
|
Abstract: |
|
Abstract: |
|
Abstract: |
ODTÜ talks are either at Hüseyin Demir Seminar room or
at Gündüz İkeda seminar room at the
Mathematics building of ODTÜ.
Bilkent talks are at room 141 of Faculty of Science
A-building at Bilkent.
Zoom talks are online.
Talks of previous
years
