With organization from Institute Rudjer Boskovic and the University of Split.

(September 24 program takes place at the Economic Faculty, Split University, most of the other scientific program at MedILS.)

INVITED SPEAKERS

U. Schreiber Germany, Hamburg
On string and Chern-Simons n-bundles
(cf.
slides )
A. L. Rosenberg USA, Manhattan, Kansas
Categories in geometry
M. Kontsevich France, Bures-sur-Yvette
TBA (two talks)
A. Neeman Australia, Canberra
Grothendieck duality and flat modules
T. Brzezinski UK, Swansea
Contramodules (slides: here)
P. Cartier France, Bures-sur-Yvette
Periods, motives, polylogarithms,
with hints to problems in mathematical physics
N. Baas Norway, Trondheim
On higher order structures
E. Vitale Belgium, Louvain-la-Neuve
Internal categories in 2-category of 2-groups
F. Muro Spain, Barcelona
Picard categories, determinants functors and K-theory
P. Severa Slovakia, Bratislava
L-infinity algebras as first approximation
J. Mrcun Slovenia, Ljubljana
Etale groupoids and Hopf algebroids
S. Mardesic Croatia, Zagreb
Products in the shape category (tentative)
V. Lyubashenko
Ukraine, Kiev
Strongly triangulated categories coming from $A_\infty$-categories
M. Batanin Australia, Sydney
Symmetrisation of n-operads and configuration spaces
D. Orlov Russia, Moscow Derived categories
of singularities
T. Maszczyk Poland, Warszawa
Sunday talk: Noncomm. alg. geom. via monoidal categories I; weekday talk:
Part II: cyclic cohomology
O. Manzyuk
Kiev, Ukrajina Serre $A_\infty$-functors
(sunday Sep 23, late afternoon talk) slides
L. Katzarkov Wien, Austria
Birational geometry and homological mirror symmetry
D. Kaledin Moscow, Russia On monoidal categories
and algebraic structures
T. Leinster Glasgow, UK
New perspectives on Euler characteristic
P. Bressler Lyon, France (to be confirmed)
W. Lowen Paris, France
Deformations of categories and objects
V. Gorbounov
Aberdeen, UK
Homotopy algebraic structures on vertex algebras
K. Waldorf Hamburg, Germany
Parallel transport and functors
J. Evslin Trieste, Italy TBA

Scientific organizers: Zoran Skoda ( IRB, Zagreb; talk ), Igor Bakovic (IRB, Zagreb)

General travel information for MedILS

Travel information specific to the conference

The workshop is dedicated to interactions between category theory and some central parts of mathematics and mathematical physics, most notably algebraic, differential and noncommutative geometry, topology, abstract homotopy theory, topological and conformal quantum field theory, deformation theory, homological algebra, descent theory, nonabelian cohomology, K-theory, moduli spaces... The category theory is here understood in a broad, modern sense including higher-dimensional analogues and enrichements like quasicategories, A-infinity categories, Segal categories, triangulated categories, and various operad-related notions, e.g. opetopes. Interaction of category theory with geometry and topology have been essential for development of both since seminal works of pioneers of the field S. Eilenberg, S. Mac Lane, W. Lawvere, G. M. Kelly and, most profoundly, Alexander Grothendieck (see also Grothendieck circle ).

Sunday 17-19 plenary talks in pre-session Manzyuk, Maszczyk

Monday lectures at Economic faculty start at 9:25 (Cartier's talk), opening ceremony at 12:00.

WEDNESDAY plenary talks: Baas 9am, Rosenberg 10am, Brzezinski 11:45am, Maszczyk 2nd part 12:40

THURSDAY plenary talks: Muro, Schreiber, Vitale, Gorbounov

FRIDAY plenary talks: Mardesic, Leinster, Muro 2nd talk, Waldorf, Evslin

Related information: Following our conference there will be a conference in Dubrovnik (south from Split) on Geometric Topology. See link