INVITED ADDRESSES:

1962	August	All-Union Mathematical Congress, Leningrad, Report on spaces with pointwise countable bases.
1964,	September	All-Union Topological conference, Tashkent, Report on dimension of groups with left invariant topology.
1964-1965		The Warsaw University, Poland, Graduated position.
1967,	August	All-Union Topological conference, Novosibirsk, Report on K--theory on the category of CW--complexes.
1970,	August	International mathematical Congress, Nice, invited lecture ''Extraordinary homology theories: bordisms and K--theory''
	July	Ukrainian Summer mathematical School, lecture on the bordism theory
1971	January	Mathematical winter school, Voronezh, lectures on the bordism theory.
	August	Topological conference, Sopot, Poland, lectures on the bordism theory.
1972	July	Arbeitstagung, Mathematical Institute of Bonn University, lecture on the Novikov conjecture.
	July	Ukrainian Summer mathematical School, lecture on differential topology
	September	All-Union Topological conference, Tbilisi, lecture on homotopy invariants of non simply-connected manifolds.
1974,	January	Mathematical winter school, Voronezh, lectures on hermitian K--theory.
1977,	September	Topological conference, Minsk, lecture on hermitian K--theory.
1979	September	International topological conference, Moscow, lecture on Banach algebras and K--theory.
	August	Topological symposium, Tiraspol, lecture on projective Banach modules and K--theory.
	July	School on the operator theory, Novosibirsk, lecture on $C^{*}$--algebras and K--theory.
1982,	July	International topological conference, Leningrad, lecture on some homotopic invariants of pseudoriemannian metrics.
1983,	August	International Congress of Mathematicians, Warsaw, Poland, lecture on representations of compact groups in Hilbert modules.
1984	September	International conference on stochastic optimization, Kiev, lecture on the solution of a linear differential game of pursuit without discrimination of the evading object.
	September	Conference on differential geometry and Global analysis, Germany, lecture on functional methods in topology.
1985,	August	Topological symposium, Tiraspol, lecture on characteristic classes in algebraic K--theory.
1986	September	All-Union Congress on mechanics, Tashkent, lecture on liner differential games of pursuit without discrimination of the evading object.
	April	All-Union conference on mechanics, Moscow, lecture on linear differential game of pursuit.
1987,	September	International Topological conference, Baku, lecture on the cohomology trace of a family of differential operators.
1988	August	All-Union geometrical conference, Kishinev, lecture on geometry of dynamical systems of a nonlinear stochastic equations.
	June	School on mathematical problems in ecology, Chita, lecture on nonlinear model of the level regime of closed water basin.
	September	Topological conference, Oberwolfach, Germany, lecture on functional methods in topology.
1989	July	International conference on algebraic topology, Poznan, Poland, lecture on Fredholm structures on infinite dimensional manifolds.
	August	Conference on operator algebras, Craiova, Romania, lecture on Infinitesimal Fredholm structure on infinite dimensional manifolds.
1990	May	University of Helsinki, Finland, lectures on the theory of Fredholm manifolds.
	August	Topological conference, Hawaii, USA, lecture on K-- theory on the category of infinite dimensional manifolds .
	October	School ``Pontryagin readings'', Kemerovo, lecture on diffeomorphisms of smooth manifolds with quick oscillations.
1991	January	Mathematical winter school, Voronezh, lecture on K- -theory on the category of infinite dimensional manifolds.
	June	Workshop ``Mathematical Models in Environmental Sciences'', Leningrad, lecture on Nonlinear Model of the Level regime of Closed Basin.
	October	The Sverdlovsk Institute of mathematics and mechanics, lectures on vector bundles.
	November	Meeting of Charkov Mathematical Society, Charkov, Lecture on vector bundles in topology and analysis.
1992	April—June	Sonderforschungsbereich 343 `Discrete Strukturen in der Mathematik', Universit\"at Bielefeld.
	May	Max--Planck--Institute f\"ur mathematik, Bonn, Lecture on higher signatures of non--positively curved manifolds.
	June	Center for Theoretical Sciences of the University of Leipzig, Lecture on higher signature of non positivly curved manifolds.
	July	Sonderforschungsbereich 288 `Differentialgeometrie und Quantenphisik', Berlin, Lecture on higher signatures of non-- positively curved manifolds.
	July-December	Department of Mathematics, Brown University, Providence, RI, USA, Visiting Professor. Lecture on the Novikov conjecture, given at the Mathematics Colloquium. Lecture on non-standard perspective, given at the Geometry Visualization Seminar.
	November	Tulane University, New Orleans. Lecture on the Novikov conjecture, given at the Colloquium.
	November	MIT, Boston. Lecture on the Novikov conjecture, given at the topological seminar.
1993	January	The University of Adelaide, South Australia, Lectures on $C^{*}$-algebras and applications to topology of manifolds.
	February	University of Cambridge.
	February	University of Oxford.
	February	University of Edinburgh.
	February	University of Manchester.
	April	Moscow State University. The Postnikov topological seminar, Lecture on analytic torsion over $C^{*}$-algebras.
	May	Voronezh, Conference 'The Pontryagin Reedings'.
	September	Conference "Novikov conjecture, Index theorems and Rigidity", Oberwolfach, Lecture on the analytic torsion over $C^*$--algebras
1994	June,	Gdansk University, Poland, Lectures on homological properties of the two dimensional Ising models and on analytic torsion and zeta function over $C^{*}-$algebras.
	July	IIASA, Laxenburg, Austria, Workshop on mathematical problems of ecology
	September	Copenhagen, Lectures on homological properties of the two dimensional Ising models and on analytic torsion and zeta function over $C^{*}-$algebras.
1995	January	San Francisco, Special session of AMS, "Almost multiplicative maps, $C^*$--algebras, and deformations, report on Almost Fredholm representations.
	March	Adelaide University, lecture on homology properties of the dimer covering on surfaces.
	June	Torun, Poland, lecture on homology properties of the dimer coverings on surfaces.
	August	Trieste, Italy, ICTP, lecture on the analytic torsion over $C^*$--algebras.
	December	Gdansk, Poland, Conference "Topological Methods in Nonlinear Analysis", lecture on nonlinear stochastic equations.
1996	May	Moscow, International Conference in honor 100th of birthday of P.S. Alexandroff, lecture on metric approach of constructing Fredholm representations.
	June	Warsaw, Poland, Workshop "Dynamical Zeta Functions, Nielsen Theory \& Reidemeister Torsion '96", lecture on analytic torsion over $C^*$--algebras.
	November	Leipzig, lecture "On asymptotic and Fredholm representation.
	,November	Bielefeld, lecture "On asymptotic and Fredholm representation.
	November	Greifswald, lecture "On analytic torsion over $C^*$--algebras.
	November	Berlin, lecture "On quasiclassical asymptotic of quasiparticles.
1997	February	Warsaw, Workshop 'Dirac Operator and Geometry', lecture 'Asymptotic and Fredholm representations and application for non simply connected manifolds'
	February	Torun, lecture 'Asymptotic and Fredholm representations and application for non simply connected manifolds'
	March	Gdansk, lecture 'Asymptotic and Fredholm representations and application for non simply connected manifolds'
	September-October	IHES, France, lecture 'Relations between asymptotic and Fredholm representations'.
	October-November	M\"unster, Germany, lecture 'Relations between asymptotic and Fredholm representations'.
	November	Bielefeld, Germany, lecture 'Local Combinatorial formula for Pontryagin classes'.
	November	Prage, Chech, lecture 'Relations between asymptotic and Fredholm representations'.
	November	Leipzig, Germany, lecture 'Relations between asymptotic and Fredholm representations'.
1988	March	Konopnica, Poland, Conference "Geometria i Topologia Rozmaitosci", lecture "Local Combinatorial Hirzebruch Formula".
	February	Potsdam, Germany, workshop "Operator Algebras with Symbolic Structures on Singular Manifolds, Index Theory and Applications", lecture "Local Combinatorial Hirzebruch Formula".
	June	Kazan, X international summer workshop on contemporary problems of theoretical and mathematical physics, lectures on vector bundles and their applications.
	August	Copenhagen, Danmark, EU--conference "$C^*$--algebras and non commutative geometry", lecture "Local Combinatorial Hirzebruch Formula".
	August	Berlin, International Congress of Mathematicians, Short Communication "Local Combinatorial Hirzebruch Formula".
	September	Moscow, International Conference dedicated to the 90th Anniversary of L.S. Pontryagin, plenary lecture "Local Combinatorial Hirzebruch Formula".
	September-November	University Paris-7, IHES,
1999	March	Usedom, Germany, International Conference on the Dirac operators and the index theory, Plenary lecture.
	May	Moscow, Alexandroff readings, Plenary lecture.
	August	Cheliabinsk, Russia, International conference "Low dimensional manifolds", Plenary lecture.
	August	St.Petersburg, Russia, International Conference "Rochlin memorial", lecture on the Hirzebruch formula.
	September	Banach Center, Warsaw, Poland, Workshop "Generalized Dirac Operators and their Geometric Scattering Theory", lecture "The Hirzebruch formula:45 years of history and present state".
	September--December	Helsinki, Finland, Three talks on the seminar by S.Illman
2000	October	Kazan, Conference "Actual Problems in Mathematics and Mechanics", Plenary lecture "Geometry of Lagrangian manifold in thermodynamics"
	December	French-Russian Mathematical Days, Lecture “Topological invariants of manifolds: from Poincare duality to the local Hirzebruch formula”.
2001	May	Krynica, Poland, III Conference “Geometry and Topology of Manifolds”, Lectures “Geometry of Lagrangian manifold in thermodynamics ", "The Hirzebruch formula with non flat coefficients”.
	August	Kuiv, Ukraina, Ukrainan Mathematical congress, Lecture “Geometry of Lagrangian manifold in thermodynamics "
	October	Messina, Italy, Conference “Renato Collapso - 100”, Lecture “Geometry of Lagrangian manifold in thermodynamics “
	September	International Conference devoted to 60^th Anniversary “Topology, Analysis and Related Topics”, Lecture “On Signature of Topological Manifolds”
2002,	May	Krynica, Poland, IV Conference “Geometry and Topology of Manifolds”, lecture “Poincare Duality and Signature of Topological Manifolds”
	August	Beijing, China, International Congress of Mathematicians, Short communication “Poincare Duality of Topological Manifolds”
2003	May	Krynica, Poland, V Conference “Geometry and Topology of Manifolds”, lecture on signature of Lie algebroids.
	August	Helsiki, Finland, Conference “Transformation Groups and Related Topics”, Lecture “Poincare Duality and Signature of Topological Manifolds”
	August	Poznan, Poland, 3^rd Poznan Workshop on Transfoemation Groups, Lecture “Poincare Duality and Signature of Topological Manifolds”
	October	Harbin, Guest Professorship, lectures on homotopy invariants of manifolds/
2004	March	Bedlewo, Poland, Conference “C*-algebras and Elliptic Theory”, Lectures “Infinite dimensional generalization of the signature type invariants of topological manifolds”, “From Poincare duality to Evans-Lu-Weinstein pairing”.
	May	Krynica, Poland, VI Conference “Geometry and Topology of Manifolds”, minicourse “$K$--theory from the point of view of $C^*$--algebras and Fredholm representations”
	June	Harbin, minicourse “Topology of Manifolds”
	September	Ancona, Italy, WorkShop di Ricerca “Global Analysis and Non Commutative Geometry”, Lectures “Higher signatures and Topological Invariance of Rational Pontryagin Classes” , “The Signature of Topological Manifolds”