ECI workshops

ECI & JCMF Workshop in Trest, 13 - 14 Oct 2018

Saturday		*Plenary lectures*
10:00 - 11:00		Coffee break
11:00 - 11:50	Golovko	Novikov fundamental group
12:30 - 14:00		Lunch
		*Seminar talks: algebra*
14:00 - 14:25	Positselski	Covers, direct limits, and pro-perfect topological rings
14:30 - 14:55	Rosicky	Colimit density revisited
15:00 - 15:25	Slavik	Purity in categories of sheaves
15:30 - 15:55	Lieberman	A category-theoretic characterization of measurable cardinals
16:00 - 16:30		Coffee break
16:30 - 16:55	Di Liberti	Concreteness
17:00 - 17:25	Espindola	Omitting types theorem, conceptual completeness and definability for infinitary logic
17:30 - 18:00	Vokrinek	Homological h-principle
		*Seminar talks: geometry and physics*
14:00 - 14:50	Michor	General Sobolev metrics on the manifold of all Riemannian metrics
14:55 - 15:25	Wulf	Yang-Baxter models and non-abelian T-duality
15:30 - 16:00	Winther	Almost Quaternion-Hermitian Structures with Large Symmetry Algebra
16:00 - 16:30		Coffee break
16:30 - 17:25	Galaev, Bazaikin	Losik classes for codimension one foliations
17:30 - 18:00	Lipinski-Jusinskas	Quantization of the particle with a linear massless solution
19:00 - ??		Dinner, party and discusssion

Sunday		*Plenary lectures*
9:00 - 9:50	Bourke	Variations on injectivity
10:00 - 10:50	Tyc	Absolute optical instruments from Hamilton-Jacobi equation
		*Seminar talks: geometry and physics*
11:00 - 11:45	Bering	A Comparison of Riemannian & Symplectic Geometry
11:50 - 12:30	Sergyeyev	Integrable (3+1)-dimensional systems via contact geometry
12.30 - 14.00		Lunch

ECI & JCMF Workshop in Telc, 6 - 7 Oct 2017

Friday		*Plenary lectures*
10.00 - 11.00		Coffee break
11.00 - 11.50	Vysoky	Poisson-Lie T-duality revisited: Language of Courant algebroids
12.30 - 14.00		Lunch
		*Seminar talks: algebra*
14:00 - 14:25	Trlifaj	Faith's problem on R-projectivity is undecidable
14:30 - 14:55	Rosicky	Barely locally presentable categories
15:00 - 15:25	Lieberman	Universal classes and locally multi-presentable
15.30 - 16.00		Coffee break
16:00 - 16:25	Hrbek	Compactly generated t-structures over any commutative ring
16:30 - 16:55	Loregian	Homotopical algebra is not concrete
17:00 - 17:25	Di Liberti	Weak saturation and weak amalgamation property
17:30 - 18:00	Vokrinek	Undecidability of the extension problem
		*Seminar talks: geometry and physics*
14:00 - 14:30	Bazaykin	Modified surface diffusion equation and sintering of porous media along viscous surface layer
14:35 - 15:00	Shin Young Kim	Standard embeddings of smooth Schubert varieties in rational homogeneous manifolds of Picard number one
15:05 - 15:30	Peksova	Properads and Homotopy Algebras Related to Surfaces
15.30 - 16.00		Coffee break
16:00 - 16:40	Cap	Canonical Cartan connections associated to filtered G-structures
16:45 - 17:30	Galaev	Comparison of approaches to characteristic classes of foliations
17:35 - 18:15	Kotov	Cartan-Lie Riemannian groupoids
18:20 - 19:00	Apanasov	Geometric 4-Cobordisms, Non-injective Homomorphisms and Lavrentiev-Fatou problems
19:00 - ??		Dinner, party and discusssion

Saturday		*Plenary lectures*
9:00 - 9:50	Henry	The C*-algebra of a topos
9:50 - 10:10		Coffee break
10:10 - 11:00	von Unge	Hyperkahler manifolds, twistors and Projective Superspace
11:05 - 11:55	Positselski	The very flat conjecture
12:00 - 13:00		Lunch
		*Seminar talks: geometry and physics*
13:00 - 13:25	Tucek	Cohomology of unitary representations for Hermitian symmetric spaces
13:30 - 13:55	Krysl	Hodge theory for unitary representations
14:00 - 14:??	Masudo	TBA

ECI Algebra Workshop in Brno, 24 March 2017

11:00 - 11.30	Trlifaj	Locality for quasicoherent sheaves associated with tilting
11.30 - 12.00	Slavik	Very flat modules and quasicoherent sheaves
14.00 - 14.30	Stovicek	Cotilting and pure-injectivity in Grothendieck categories
14.30 - 15.00	Prihoda	Embeddings of group algebras into division rings and constructions of strange pure projective modules
15.00 - 15.30	Rosicky	On the uniqueness of cellular injectives
16.00 - 16.30	Loregian	t-structures are normal torsion theories
16.30 - 17.00	Hrbek	Local homology and n-tilting classes

ECI & JCMF Workshop in Telc, 7 - 8 Oct 2016

Friday		*Plenary lectures*
10.00 - 11.00		Coffee break
11.00 - 11.50	Stovicek	Derived equivalences and tilting theory
12.30 - 14.00		Lunch
		*Seminar talks: algebra*
14:00 - 14:25	Positselski	Infinite tilting theory
14:30 - 14:55	Kuber	Definable categories
15:00 - 15:25	Groth	Stability and dualizability
15:30 - 15:55	Lieberman	Hanf numbers for AP and JEP
16.00 - 16.30		Coffee break
16:30 - 16:55	Trlifaj	Locality of tilting quasi-coherent sheaves
17:00 - 17:25	Rosicky	Are accessible categories co-wellpowered?
17:30 - 17:55	Prihoda	TBA
18:00 - 18:25	Korbelar	Finitely generated modules over commutative semirings
		*Seminar talks: geometry and physics*
14:00 - 14:45	Weber	Faa di Bruno for operads and internal algebras
14:50 - 15:20	Zadnik	On conformal tractor Frenet frame
15:25 - 15:55	Silhan	On projective metrizability in low dimensions
16.00 - 16.30		Coffee break
16:30 - 16:55	Randall	Flat (2,3,5)-distributions and Chazy's equations
17:00 - 17:25	Gregorovic	A construction of non-flat non-homogeneous symmetric parabolic geometries
17:30 - 17:55	Krysl	A brief report on Hodge theory
18:00 - 18:45	Vikman	Canonical Exorcism for Cosmological Ghosts
19:00 - ??		Dinner, party and discusssion

Saturday		*Plenary lectures*
9:00 - 9:50	Kluson	Two dimensional Horava-Lifshitz Gravity and Its Hamiltonian Analysis
		*Seminar talks: geometry and physics*
10:00 - 10:55	Cap	Descending invariant operators and BGG sequences to PACS-structures
11:00 - 11:30	Salac	Elliptic complex on the Grassmannian of oriented 2-planes
11:35 - 12:00	Krizka	Wakimoto modules and screening operators
12.00 - 13.30		Lunch

ECI Algebra Workshop in Prague, 27 May 2016

	The room K334, MFF UK
12:30 - 13.05	Rosicky	Cofibrant generation of model categories revisited
13:10 - 13.45	Stovicek	Universal localisations and silting theory
13.50 - 14.20	Coffe break
14.20 - 14.55	Lieberman	Mu-AECs: in search of applications
15.00 - 15.35	Kuber	Taxotopy theory: an ordered version of homotopy
15.40 - 16.15	Hrbek	n-Tilting classes over commutative rings
16.20 - 16.50	Tea break
16.50 - 17.25	Kubisz	Metric-enriched categories leading to universal almost homogeneous objects
17.30 - 18.05	Doubek	Topological field theories and modular envelopes
18.10 - 18.45	Prihoda	Semilocal categories

Maple DG workshop, Brno, 10-12 Dec 2015

All tutorials, based on Maple worksheets, were delivered by Ian Anderson, the creator of the Maple DG library himself.

Linear algebra

Calculus on manifolds

Tensor algebra

Tensor analysis, Lie algebras

Homogeneous spaces

Structure theory of Lie algebras

Representation theory, Symmetries, Holonomy

Kostant's theorem

Linear algebra

Calculus on manifolds

Tensor algebra

Tensor analysis, Lie algebras

Homogeneous spaces

Structure theory of Lie algebras

Representation theory, Symmetries, Holonomy

Kostant's theorem

Cartan normal connection

Tanaka prolongation

ECI Workshop in Trest, 9 - 10 Oct 2015

*Friday*		*Plenary lectures*
10.00 - 11.00		Coffee break
11.00 - 11.50	Koutrolikos	Description of Irreducible Representations of the (Super)Poincare group
12.30 - 14.00		Lunch
		*Seminar talks: algebra*
14:00 - 14:25	Hrbek	Silting over commutative rings
14:30 - 14:55	Prihoda	Pure projective tilting modules
15.00 - 15.25	M.Lieberman	Metric abstract elementary classes and accessible categories
15:30 - 16:20	Stovicek	Representability of functors and Gorenstein homological algebra
16:30 - 16:55	Rosicky	Preaccessible categories
17:00 - 17:25	Bourke	Skew monoidal structures in homotopical context
17:30 - 18:00	Vokrinek	Morita equivalence and absolute colimits
		*Seminar talks: geometry and physics*
14:00 - 14:50	Cap	On relative BGG sequences
15:00 - 15:20	Hinterleitner	On the existence of pre-semigeodesic coordinates
15:25 - 15:40	Winther	Curvature of G2 invariant quaternionic geometry by extension functor (Maple tutorial)
15:45 - 16:20	Fischman	The boundary value problem for Laplacian on differential forms and conformally Einstein infinity
16:25 - 17:00	Chrysikos	Twistor and Killing spinors with torsion on Riemannian manifolds
17:05 - 17:40	Winther	Non-degenerate almost complex structures with large symmetry groups
17:45 - 18:10	Gregorovic	Geodesic symmetries of conformal generalized geodesics and (locally) conformally symmetric space
20:00 - ??		Party and discusssion

Saturday		*Plenary lectures*
9:00 - 9.50	Burke	Synthetic Lie theory
10:00 - 10.50	Howe	Small representation of finite groups
		*Seminar talks: algebra*
11.00 - 11.25	Positselski	Cotorsion theories in contramodule categories
11.30 - 11.55	Slavik	(Locally) very flat and contraadjusted modules
12.00 - 12.25	Korbelar	Divisibility and torsion in semigroups rings
		*Seminar talks: geometry and physics*
11:00 - 11:50	Lipinski-Jusinskas	A DDF-like algebra approach to the pure spinor b ghost cohomology
12.00 - 13.30		Lunch

ECI Workshop in Algebra, Brno, 15 May 2015

	The seminar room
10.00 - 10.30	Coffee break
10.30 - 11.30	Boney	The \Gamma-Ultraproduct and Torsion Modules
11.30 - 12.00	Rosicky	Accessible categories - most abstract elementary classes
12.00 - 13.00	Lunch
13.00 - 14.00	Herzog	Exact categories with direct limits
	The room M5
14.00 - 15.00	Prihoda	V(R) for a double of a regular ring
15.00 - 15.30	Coffee break
15.30 - 16.30	Lieberman	Abstract model theory: finding a framework
16.30 - 18.00	Discussion

ECI Workshop in Trest, 24 - 25 Oct 2014

Friday:	Plenary lectures
M.Lieberman	Towards a new model theory
A.Cap	Projective compactness
	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
T.Tyc	Imaging by multimode optical fibres
P.Nurowski	Geometrical structures and robots
A.Taghavi-Chabert	Kerr-type theorems and twistor geometry
B.Warhurst	Arithmetic three spheres theorem in H-type groups
	Algebra section
J.Rosicky	Abstract elementary equivalences
J.Stovicek	Smashing localization for rings of weak global dimension 1
J.Trlifaj	Generalized injectivity approximations
A.Brooke-Taylor	Colimit preservation from weaker large cardinals
J.Bourke	Negative results about tensor products of Gray-categories
L.Vokrinek	Universal properties of resolutions and homotopy R-modules

Saturday:	Plenary lectures
F.Farakos	The inflationary paradigm in supergravity
J.Hladky	Limits of graph sequences, dense and sparse model
	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
R.O'Buachalla	A Kahler Spectral Data for the Standard Podles Triple
M.Fischmann	On conformal powers of the Dirac operator on Einstein manifolds
S.Krysl	Elliptic complexes over C^*-algebras of compact operators
J.Gregorovic	Geometric properties of homogeneous parabolic geometries with generalized symmetries
V.Zadnik	A report on non-normal Fefferman type construction
	Algebra section
J.Saroch	Approximations and Mittag-Leffler modules
M.Hrbek	Tilting over 1-dimensional domains
A.Slavik	Very flat groups
P.Prihoda	Representations of symmetric groups nad cryptology

ECI & AMEGA Workshop in Trest, 11 - 12 Apr 2014

Friday:	Plenary lectures
L.Vokrinek	On algorithmic aspects of homotopy theory
I.Minchev	Hypersurfaces in hyper-Kaehler geometries
	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
A.Medvedev	Lagrangian Contact Structures and geometry of second order PDEs
T.Salac	Pushing down natural differential operators: towards BGG sequences
	Algebra section
J.Trlifaj	Tilting approximations and Mittag-Leffler conditions
M.Makkai	A fibrational formulation of second order logic with dependent type
O.Raventos	Delooping machines via cellularization
M.Korbelar	Idempotency and 3-generated semifields

Saturday:	Plenary lectures
V.Lychagin	Quantizations of finite and compact group actions
L.Positselski	Comodule-contramodule correspondence
	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
I.Chrysikos	Invariant connections with skew-torsion and $\nabla$-Einstein structures
A.Sergyeyev	A new class of integrable (3+1)-dimensional dispersionless systems related to contact geometry
A.Galaev	Some remarks on the holonomy of pseudo-Riemannian manifolds
J.Silhan	On powers of the laplacian in the Grassmannian geometry
J.Gregorovic	Classification of types of parabolic geometries that admit non--flat examples with generalized symmetries of order $2$
	Algebra section
J.Stovicek	Abstract representation theory using Grothendieck derivators
J.Rosicky	Towards categorical model theory
J.Bourke	Accessible algebraic weak factorisation systems
M.Doubek	Homotopy derivations
H.-Ch.Herbig	The a-invariant of a symplectic quotient
M.Hrbek	Minimal generation of abelian groups and modules
D.Majard	Reduced graphs for higher dimensional associativity

ECI Workshop in Trest, 11 - 12 Oct 2013

Friday:	Plenary lectures
A.van Roosmalen	Examples of non-commutative projective curves
R.O'Buachalla	The Noncommutative Kahler Geometry of the Standard Podles Sphere
	Section talks/discussion (algebra and geometry/physics separetaly)

Saturday:	Plenary lectures
I.Herzog	The Mono-Epi Exact Structure of Arrows
H.-C.Herbig	On symplectic quotients of unitary representations of compact Lie groups
	Section talks/discussion (algebra and geometry/physics separetaly)

ECI Workshop of Algebra in Brno, 14 Jun 2013 (Lecture Room M5)

10.00 - 10.30	Coffee break
10.30 - 11.30	Stovicek	Generalized Hill lemma
11.30 - 12.00	Trlifaj	(Co)tilting, (co)filtrations, and (co)localization
12.00 - 13.00	Lunch
13.00 - 13.30	Rosický	Shelah's singular compactness theorem
13.30 - 14.00	Raventos	Stabilization of quasicategories
14.00 - 14.30	Bourke	What is the expressive power of algebraic orthogonality ?
14.30 - 15.00	Coffee break
15.00 - 15.30	Amrani	Maps of DG-algebras
15.30 - 18.00	Discussion

ECI & AMEGA Workshop in Trest, 19 - 20 Oct 2012

Friday:	Plenary lectures
T.Tyc	Waves in perfect lenses (animation)
J.Trlifaj	Approximations and locally free modules
D.Majard	N-tuple groups and the Poincaré group
M.Marvan	Constant astigmatism equation
B.Jurco	Algebraic and geometric structure of string field theory

Saturady:	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
H.V.Le	Bulk deformation of coisotropic submanifolds
I.Chrysikos	Einstein metrics on flag manifolds with second Betti number b2(M)=1
M.Doubek	Algebraic structures in string field theory
T.Salac	k-Dirac operator and the boundary value problem
J.Vysoky	Nambu sigma models and their algebraic structure
A.Medvedev	Conformal geodesics and geometry of the 3rd order ODEs systems
D.Smid	Higher order higher spin confomally invariant operators on the sphere
	Algebra section
M.Makkai	Semistrict higher categories
P.Prihoda	Transfinite powers in rings of differential polynomial
M.Lieberman	Categories in abstract model theory
J.Bourke	Exactness properties of 2-categories
J.Rosicky	Are weak equivalences finitely accessible?

ECI WORKSHOP ON CATEGORIES, ALGEBRAS AND REPRESENTATIONS In Prague, 12 May 2012

J.Rosicky	Combinatorial categories
J.Trlifaj	Trees and locally free modules
O.Raventos	Homological properties of abelian categories with exact k-żltered colimits
J.Stovicek	Localizations of the derived category of a valuation domain
I.Amrani	Homotopy theory of higher groupoids
M.Doubek	Generalized operads
J.Bourke	Two dimensional monadicity
P.Prihoda	Classifying pure projective modules over chain domains
P.Ruzicka	Abelian groups with a minimal generating set
J.Hrbek	Modules having a minimal generating set

ECI & AMEGA Workshop in Telc, 21 - 22 Oct 2011

Friday:	Plenary lectures
M.Schnabl	Open string field theory
J.Stovicek	Grothendieck duality and derived categories
	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
P.Michor	Vanishing geodesic distance for Sobolev metrics $H^s$ for $0\le s\le 1/2$ on diffeomorphism groups
B.Kruglikov	Advances in Tanaka theory and applications
O.Kowalski	Functions of one complex variable and special hypersurfaces in R4
J.Vanzura	Locally conformal symplectic structures
	Algebra section
J.Trlifaj	Locality of restricted Drinfeld vector bundles
M.Makkai	The Gray category of locally finitely presentable 2żcategories
D.Pospisil	(Co)tilting classes over commutative noetherian rings
O.Raventos	Models for mapping spaces
L.Vokrinek	TBA

Saturday:	Plenary lectures
D.Alekseevsky	Neurogeometry
	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
A.Galaev	Sim-holonomy and the Einstein equation
M.Lyulinskiy	Building supersymmetric metric in superspace
T.Milev	On branching laws of generalized Verma so(7)-modules over G2
J.Gregorovic	Local reflexion spaces
M.Doubek	Deformations of (curved) $A_\infty$ algebras
J.Vysoky	Lie algebroid perspective of Poisson-Lie sigma models
E.Tanaka	Einstein's general relativity in terms of Kawaguchi geometry (areal space)
T.Salac	Existence of global 3-forms on manifolds of dimension 7
	Algebra section
D.Chikhladze	Enriched regular categories
M.Korbelar	Commuting elements in free solvable groups
J.Rosicky	Classżaccessible categories

ECI & AMEGA Workshop in Radejov, 13 - 14 May 2011

Friday:	Plenary lectures
D.Alekseevski	Almost Sasakian and para-Sasakian special geometries
M.Makkai	Higher dimensional categories
	Seminar (algebra and geometry/physics separately)
	Geometry & physics section
A.Galaev	Two-symmetric Lorentzian manifolds
T.Willse	Nurowski's conformal structure and split G_2-holonomy