ODTÜ-BÝLKENT Algebraic Geometry Seminar
(See all past talks
ordered according to speaker and date)

**** 2016 Spring Talks ****

 The theme of this term is Topology of Algebraic Curves, by Alex Degtyarev De Gruyter, 2012 The following is a tentative distribution of the talks. Changes will be done to suit our mathematical pleasures!

1. ODTÜ, 26 February 2016, Friday, 15:40

Alexander Degtyarev-[Bilkent] - Skeletons

 Abstract: This is section 1.2. In a sense it is the heart of the book: It explains how boring algebra can be translated into the intuitive language of pictures. (Of course, then it turns out that pictures are not so easy, either, but that’s another story.)

2. Bilkent, 4 March 2016, Friday, 15:40

Alexander Degtyarev-[Bilkent] - Skeletons-II

 Abstract: This talk is a continuation of the previous week's talk.

3. ODTÜ, 11 March 2016, Friday, 15:40

Ali Sinan Sertöz-[Bilkent] - Elliptic Surfaces

 Abstract: We will give an introduction to the concepts of elliptic surfaces. We will mainly follow the order of Section 3.2 of the book.

4. Bilkent, 18 March 2016, Friday, 15:40

Ali Sinan Sertöz-[Bilkent] - Elliptic Surfaces and Weierstrass theory

 Abstract: We will talk about the Weierstrass theory and the j-invariant of elliptic surfaces.

5. ODTÜ, 25 March 2016, Friday, 15:40

Alexander Degtyarev-[Bilkent] - Trigonal curves and monodromy

 Abstract:  We will discuss the simple analytic (Calculus 101) properties of the $j$-invariant and the way how it affects the singular fibers. Then, we will start the discussion of trigonal curves, fundamental groups, the braid monodromy, and its relation to the $j$-invariant.

6. Bilkent, 1 April 2016, Friday, 15:40

Alexander Degtyarev-[Bilkent] - Trigonal curves and monodromy - II

 Abstract: We will discuss the fundamental groups, braid monodromy, Zariski--van Kampen theorem, and the relation between the braid monodromy, dessins, and the $j$-invariant, implying that the monodromy group is one of genus zero and imposing strong restrictions on the fundamental group. Another application of this ideology is the concept of universal (for a given fundamental group) trigonal curve.

ODTU, 8 April 2016, Friday, 15:40
Cancelled due to the memorial meeting for Tosun Terzioðlu who passed away only six weeks ago.
The meeting will be at ODTU
Mathematics Department Cahit Arf Amphitheater, starting at 13:30.

7. Bilkent, 15 April 2016, Friday, 15:40

Alexander Degtyarev-[Bilkent] - Trigonal curves and monodromy - III

 Abstract: We continue the description of the braid monodromy of a trigonal curve and its relation to the dessin. The principal result is the fact that the monodromy group is a subgroup of genus zero. As an immediate application, we will discuss the dihedral coverings ramified at trigonal curves (equivalently, torsion of the Mordell—Weil group of an elliptic surface) and a trigonal curve version of the so-called Oka conjecture.

ODTÜ, 22 April 2016, Friday, 15:40
Cancelled in favour of 4th Cemal Koç Algebra Days
at METU

8. Bilkent, 29 April 2016, Friday, 15:40

Alexander Degtyarev-[Bilkent] - Trigonal curves and monodromy: further applications

 Abstract: As yet another application of the relation between the braid monodromy and $j$-invariant, we will derive certain universal bounds for the metabelian invariants of the fundamental group of a trigonal curve.

ODTÜ talks are either at Hüseyin Demir Seminar room or at Gündüz Ýkeda seminar room at the Mathematics building of ODTÜ.
Bilkent talks are
at room 141 of Faculty of Science A-building at Bilkent.

 2000-2001 Talks  (1-28) 2001 Fall Talks  (29-42) 2002 Spring Talks  (43-54) 2002 Fall Talks  (55-66) 2003 Spring Talks  (67-79) 2003 Fall Talks  (80-90) 2004 Spring Talks (91-99) 2004 Fall Talks (100-111) 2005 Spring Talks (112-121) 2005 Fall Talks (122-133) 2006 Spring Talks (134-145) 2006 Fall Talks (146-157) 2007 Spring Talks (158-168) 2007 Fall Talks (169-178) 2008 Spring Talks (179-189) 2008 Fall Talks (190-204) 2009 Spring Talks (205-217) 2009 Fall Talks (218-226) 2010 Spring Talks (227-238) 2010 Fall Talks (239-248) 2011 Spring Talks (249-260) 2011 Fall Talks (261-272) 2012 Spring Talks (273-283) 2012 Fall Talks (284-296) 2013 Spring Talks (297-308) 2013 Fall Talks (309-319) 2014 Spring Talks (320-334) 2014 Fall Talks (335-348) 2015 Spring Talks (349-360) 2015 Fall Talks (361-371)