CATEGORIES IN GEOMETRY

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.

Monday schedule

Tuesday schedule

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