# 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