
LEFSCHETZ
FIBRATIONS DAY 
January 10, 2020 
Hacettepe University, Ankara 


Speakers: 
İnanç Baykur, UMass
Amherst 
Mustafa Korkmaz,
METU 
Nur Sağlam, Virginia Tech 
Burak Özbağcı, Koç University 

The talks will be in Yaşar Ataman Meeting Room
on the second floor of Mathematics Department at Hacettepe University. 

Schedule 
09:3010:30 
Nur Sağlam Constructions
of Lefschetz fibrations using cyclic group actions 
10:3011:00 
CoffeeTea Break 
11:0012:00 
Mustafa
Korkmaz Involution
generators of mapping class groups 
12:0012:30 
CoffeeTea Break 
12:3013:30 
İnanç Baykur Symplectic
CalabiYaus and exotic rational surfaces via pencils 
13:3014:30 
Lunch Break 
14:3015:30 
İnanç Baykur Geography of surface bundles over surfaces 
15:3016:00 
CoffeeTea Break 
16:0017:00 
Burak Özbağcı Convexity in contact,
symplectic and complex topology 


17:30 
Dinner at Bilkent Center 
Abstracts 
Nur Sağlam Constructions
of Lefschetz fibrations using cyclic group actions We construct
families of Lefschetz fibrations over S^2 using finite order cyclic group actions on the product manifolds
Σ_gxΣ_g for g>0. We also obtain
more families of Lefschetz fibrations by applying the
rational blowdown operation to these Lefschetz fibrations. This is a joint work with
Anar Akhmedov and Mohan Bhupal. 
Mustafa Korkmaz Involution
generators of mapping class groups 
İnanç Baykur Symplectic
CalabiYaus and exotic rational surfaces via pencils We will discuss new ideas
and techniques for producing positive Dehn twist factorizations of surface mapping classes, which yield novel constructions
of symplectic CalabiYaus
and exotic rational surfaces, via Lefschetz pencils. Parts of this research program is in collaboration with N. Hamada, K. Hayano, M. Korkmaz, and N. Monden. 
İnanç Baykur Geography of surface bundles over surfaces An outstanding problem for surface bundles
over surfaces, closely related to the symplectic
geography problem in dimension
four, is to determine for which fiber and base genera there
are examples with nonzero signature. We will report on our recent progress
(joint with M. Korkmaz), which resolves the question for all fiber and base genera
except for about 25 pairs at the time of writing. 
Burak Özbağcı Convexity in contact,
symplectic and complex topology After giving a
comparative review of convexity for contact, symplectic and complex manifolds,
I will explain how it is related to Lefschetz
fibrations and open books. 







