Some of my talks
Here you can find slides of some talks I gave recently, and less recently, in the
form of pdf files:
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On loops, cones and stars: striving for the optimal shape,
A talk at the conference "Results in Contemporary Mathematical Physics", in honor of Rafel Benguria, Santiago de Chile, December 2018
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Schrödinger operators exhibiting a sudden
change of the spectral character,
A talk at the IML workshop "Eigenvalues and Inequalities", Djursholm, May 2018
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Some unusual spectra of periodic quantum graphs,
a talk at the conference "Chaos, and what it can reveal", in honor of Petr eba 60th birthday, Hradec Králové, May 2017
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Schrodinger operators with singular interactions on sets of codimension one,
a talk at the conference "Operator Theory, Analysis and Mathematical Physics", Sankt Petersburg, August 2016
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Singular Schrodinger operators and Robin billiards: geometry, spectra and asymptotic expansions,
a talk at the conference "Operators, Operator Families and Asymptotics", Bath, May 2016
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Schrodinger operators exhibiting parameter-dependent spectral transitions,
a talk at the "Fourth Najman Conference on Spectral Problems for Operators and Matrices", Opatija, September 2015
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A regular version of Smilansky model,
a talk at GAMM Jahrestagung, Erlangen, March 2014
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Schroedinger operators with narrow channels: unusual semiclassical behavior and spectral estimates,
a talk at Universite de Provence, Aix-Marseille 1,
Chateau Gombert, October 2013
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The intriguing delta',
a talk at the conference "Quantum Spectra and Transport", in honor of Yosi Avron,
Jerusalem, June-July 2013
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Geometric properties of the ground state for Hamiltonians with singular interactions,
a talk at the conference "Operator Theory, Analysis and Mathematical Physics",
Barcelona, June 2012
-
There is more in quantum mechanics,
a talk at the WPI-AIMR workshop "Cutting-edge Functional Materials for Green Innovation",
Sendai, February 2012
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Geometric properties of point-interaction Hamiltonians ground state,
a talk at the workshop "The Boundary Value Problems and Spectral Geometry",
Oberwolfach, January 2012
- Quantum graphs and their generalizations:
Lectures 1 and 2,
Lectures 3 and 4,
Lectures 5 and 6,
a minicourse at the summer school "Mathematical Theory of Quantum Networks",
Les Diablerets, June 2011
-
Periodic quantum graphs and their local perturbations,
a talk at the workshop "Spectral and Scattering Theory and Related Topics",
Kyoto, February 2011
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Quantum graphs: geometric perturbations, resonances, and Weyl asymptotics,
a talk at the "Fifth International Conference on Operator Theory Analysis
and Mathematical Physics", Bedlewo, August 2010
-
Loops and trees: spectral properties of quantum graphs,
a talk at the "2nd St. Petersburg Conference in Spectral Theory" dedicated to the memory of M.Sh. Birman, St. Petersburg, July 2010
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Quantum graphs with general vertex coupling: approximation by scaled Schroedinger operators on manifolds,
a talk at the conference "Probabilistic and Analytical Methods in Mathematical Physics", Tsaghkadzor, September 2009
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Approximation of nontrivial quantum graphs by Schroedinger operators on Neumann networks,
a talk at the conference "Mathematical aspects of transport in mesoscopic systems", Dublin, December 2008
-
On the spectrum coming from "bending" a chain quantum graph
,
a talk at the conference to honour M. Havlicek's 70th birthday, Prague, October 2008
-
On quantum particles which change dimension,
a talk at the workshop in memory
of Vladimir Geyler, Berlin, April 2008
-
Dirichlet network squeezed to graphs, with a bent tube example,
a talk at the QMath10 conference, Moeciu, September 2007
-
Inequalities for means of chords and related isoperimetric problems,
a talk at the "6th Congress of Romanian Mathematicians", Bucharest, June 2007
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Quantum networks modelled by graphs,
a talk at the "Joint Physics/Mathematics Workshop on Quantum Few-Body Systems", Aarhus, March 2007
-
Quantum graphs and their applications,
lectures given at the LMS/EPSRC short course "Analysis on Graphs and its Applications", Gregynog Hall, January 2007
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Lectures on quantum graphs, ideal, leaky, and generalized,
a minicourse given in NZIMA, University of Auckland, November 2006
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Unstable system dynamics: do we understand it fully?,
a talk at the 21st Max Born Symposium "Mathematical Problems in
Nonrelativistic Quantum Dynamics", Wroclaw, June 2006
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Spectra of Laplacians in twisted tubes,
a talk at the conference "Spectral Theory of Differential Operators",
in honour of Michael Solomyak, Rehovot, May 2006
-
Inequalities for means of chords, with applications to isoperimetric problems,
a talk at the conference "Dynamics of Complex Quantum Systems", Rehovot and Haifa, December 2005
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Reflections on Zeno and anti-Zeno,
a talk at the conference "Operator Semigroups, Evolution
Equations and Spectral Theory in Mathematical Physics", Marseille-Luminy, October 2005
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Isoperimetric problems for point sources and inequalities for loop chords,
a talk at the "Workshop on Computation and Analytical Problems in Spectral
Theory", Gregynog, July 2005
-
Scattering and resonances in leaky quantum wires,
a talk at the conference "Days on Diffraction'05", Sankt Petersburg, July 2005
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Approximation for and by quantum graph Hamiltonians,
a talk at the AMS Summer Research Conference "Quantum Graphs and Their
Applications", Snowbird, Utah, June 2005
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Isoperimetric problems for singular interactions in the planes,
a talk at the UAB05 conference "Differential Equations
and Mathematical Physics", Birmingham, Alabama, April 2005
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Quantum waveguides: mathematical problems,
a talk at the
QMath9 conference, Presque'Ile de Giens, September 2004
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Approximations of graphs vertices,
a talk at the conference "Operator Theory and Applications
in Mathematical Physics", Bedlewo, July 2004
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Geometrically induced bound states in Dirichlet layers,
a talk at the Wroclaw University, April 2004
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Schroedinger operators with strongly attractive graph-type interaction,
a talk at the Okayama University, March 2004
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Quantum system coupling manifolds of different dimensionality,
a talk at the Tokyo Metropolitan University, March 2004
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Resonance effects in transport through leaky graphs,
a talk at the conference "Resonances - from Physics to Mathematics
and back", Dresden, January 2004
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