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Alan L. Carey, Jouko Mickelsson and Michael K. Murray, Index theory, gerbes, and Hamiltonian quantization, Comm. Carey, Michael K. Wang, Higher bundle gerbes and cohomology classes in gauge theories, J.

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Murray, Bundle gerbes applied to quantum field theory, Rev. Colbert and R. Caitlin A. Griffith, Joseph L. Hall and Thomas R. Geballe, Detection of daily clouds on Titan, Science October 20, , Laura Robin Benedetti, Jeffrey H. Nguyen, Wendell A. Dedicata 19 , Tonny A. A65 , Structures in higher-dimensional category theory, Ph. Up-to-homotopy monoids, available as arXiv:math. Homotopy algebras for operads, available as math. Operads in higher-dimensional category theory, available as arXiv:math.

Salecker and E. Wigner, Quantum limitations of the measurement of space-time distances, Phys. The syntax of coherence. To appear in Cahiers Top. Also available at arXiv:math. Coherence, homotopy and 2-theories. To appear in K-Theory. From subfactors to categories and topology I: Frobenius algebras in and Morita equivalence of tensor categories, available at arXiv:math. From subfactors to categories and topology II: The quantum double of tensor catgories and subfactors, available at arXiv:math.

Alejandro Perez, Finiteness of a spin foam model for Euclidean quantum general relativity, Nucl. Alejandro Perez, Group quantum field theories and spin foam models for quantum gravity, to appear. Kokkotas and B. Jacob D. Bekenstein and V. Mukhanov, Spectroscopy of the quantum black hole, Phys. Lett B , II, The chiral measure on moduli space, Nucl. III, Slice independence and absence of ambiguities, Nucl. IV, The cosmological constant and modular forms, Nucl.

Michael A. Batanin, The combinatorics of iterated loop spaces, available as arXiv:math. David E. Renate Loll and W. Westra, Space-time foam in 2d and the sum over topologies, Acta Phys. B34 Kirill Krasnov and Sergey N. Balteanu, Z. Fiedorowicz, R. Schwaenzl and R. Vogt, Iterated monoidal categories, available at arXiv:math. Fiedorowicz, Constructions of E n operads, available at arXiv:math.

Jeff Stopple, A reciprocity law for prime geodesics, J. Number Theory 29 , Darin Brown, Lifting properties of prime geodesics on hyperbolic surfaces, Ph. Santa Barbara, Elstrodt, F. Grunewald, and J. Bott et al. Schmit, Quantum and classical properties of some billiards on the hyperbolic plane, in Chaos and Quantum Physics, eds.

Giannoni et al. Sabbagh, Dr. Riemann's Zeros, Atlantic Books, , pp.

## Wintersemester / Seminar Geometrische Quantisierung

Matthew R. Anton Deitman, Panorama of zeta functions, available as math. Alain Connes, Trace formula in noncommutative geometry and the zeros of the Riemann zeta function, available as arXiv:math. On the movement of small particles suspended in stationary liquids required by the molecular-kinetic theory of heat, Annalen der Physik 17 , On the electrodynamics of moving bodies, Annalen der Physik 17 , Does the inertia of a body depend upon its energy content? John J. O'Connor and Edmund F. Robertson, Arabic mathematics: forgotten brilliance?

Scott L.

Review by William R. Edward Frenkel, Recent advances in the Langlands program, available at arXiv:math. Erica Klarreich, Glimpses of genius: mathematicians and historians piece together a puzzle that Archimedes pondered, Science News , Michael E. David C. Brown, Chad A. Trujillo and David L. Jurkiewicz and Renate Loll, Reconstructing the universe, Phys. D72 John Barrett, Feynman loops and three-dimensional quantum gravity, Mod. A20 Laurent Freidel and David Louapre, Ponzano-Regge model revisited I: gauge fixing, observables and interacting spinning particles, Class.

Laurent Freidel and Etera R. Garfinkel, On resonance in celestial mechanics: a survey, Celestial Mech. Varadi, M. Ghil, and W. Tetsuharu Fuse, Planetary perturbations on the mean motion resonance with Neptune, Publ. Japan 54 , George Voyatzis and John D. Luz V. Vela-Arevalo and Jerrold E. Marsden, Time-frequency analysis of the restricted three-body problem: transport and resonance transitions, Class.

Michael Berry, Chaos and the semiclassical limit of quantum mechanics is the moon there when somebody looks? Hamburg 4 , Paris , Lawrence Breen, Theorie de Schreier superieure, Ann. Ecole Norm. Blanco, M. Bullejos and E. Faro, Categorical non abelian cohomology, and the Schreier theory of groupoids, available as arXiv:math.

Also available as math. James Stasheff, Parallel transport in fibre spaces, Bol. Mexicana , James Stasheff, Associated fibre spaces, Michigan Math. Journal 15 , Pure Math. Ronald Brown and P. Higgins, Crossed complexes and non-abelian extensions, Category theory proceedings, Gummersbach, , ed. Kamps et al Lecture Notes in Math. Ronald Brown and O. Mucuk, Covering groups of non-connected topological groups revisited, Math.

Also available as arXiv:math. Ronald Brown and Ilhan Icen, Homotopies and automorphisms of crossed modules of groupoids, Applied Categorical Structures, 11 Higgins, The classifying space of a crossed complex, Math. Iakovos Androulidakis, Classification of extensions of principal bundles and transitive Lie groupoids with prescribed kernel and cokernel, J. Claudio Hermida, Descent on 2-fibrations and strongly 2-regular 2-categories, Applied Categorical Structures, 12 , Stephen W.

## Series: Graduate Texts in Mathematics

William Rowan Hamilton, Second essay on a general method in dynamics, ed. David R. Jakob Palmkvist, A realization of the Lie algebra associated to a Kantor triple system, available as arXiv:math. Bruce H. Bartlett, Categorical aspects of topological quantum field theories, M. Thesis, Utrecht University, Available as arXiv:math. Aaron D. Aaron Lauda, Frobenius algebras and ambidextrous adjunctions, available as arXiv:math.

Aaron Lauda, Frobenius algebras and planar open string topological field theories, arXiv:math. Hoffman, The computer-aided discovery of new embedded minimal surfaces, Mathematical Intelligencer 9 , Note No. D, Washington, DC, Garstecki and R.

Holyst, Scattering patterns of self-assembled gyroid cubic phases in amphiphilic systems, J. Nelido Gonzalez-Segredo and Peter V. Press, Cambridge, Pseudorandomness and Cryptographic Applications. Razborov, Lower bounds for propositional proofs and independence results in bounded arithmetic, in Proceedings of ICALP , , pp. III, , pp. Buss, Bounded arithmetic and propositional proof complexity, in Logic of Computation, ed.

Schwictenberg, Springer-Verlag, , pp. Also available as cs. Calude, Springer, Singapore, , pp. John Baez, Recursivity in quantum mechanics, Trans. Klaus Weihrauch and Ning Zhong Is wave propagation computable or can wave computers beat the Turing machine? Press, , pp. Scott, Some aspects of categories in computer science, Handbook of Algebra, Vol.

Hazewinkel, Elsevier, New York, Algebra Seely, Weak adjointness in proof theory, in Proc.

- Acknowledgments?
- Say It in Spanish.
- Defunct Federalisms (Federalism Studies);
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Durham Conf. Seely, Modeling computations: a 2-categorical framework, in Proc. Freeman, New York, Schwaemmle and H. Herrmann, Solitary wave behaviour of sand dunes, Nature Dec. Hermann, Minimal model for sand dunes, Phys. Elbelrhiti, P. Claudin, and B. Andreotti, Field evidence for surface-wave-induced instability of sand dunes, Nature Sep. Goldman and Louis H. Kauffman, Rational tangles, Advances in Applied Mathematics 18 , Kauffman and Sofia Lambropoulou, On the classification of rational tangles, available as arXiv:math.

Carr and J. Calude and M. Monthly , Gonzalez-Springberg and J. Verdier, Construction geometrique de la correspondance de McKay, Ann. ENS 16 , Mikhail Kapranov and Eric Vasserot, Kleinian singularities, derived categories and Hall algebras, available as arXiv:math. Dynkin with Commentary, eds. Yushkevich, G. Seitz and A. Onishchik, AMS, Hazewinkel, W. Hesselink, D. Siermsa, and F. Michael R. John Milnor, Singular points of complex hypersurfaces, Ann.

Studies 61, Princeton U. Press, Princeton, Coxeter, The evolution of Coxeter-Dynkin diagrams, in: T. Bisztriczky, P. McMullen, R. Schneider, A. Ivic Weiss, eds. Witt, Spiegelungsgruppen und Aufzahlung halbeinfacher Liescher Ringe. Figure 4. Cavazzoni, G. Chiarotti, S. Scandolo, E. Tosatti, M. Bernasconi and M. Parrinello, Superionic and metallic states of water and ammonia at giant planet conditions, Science January , Celliers et al, Electronic conduction in shock-compressed water, Plasmas 11 , LL Knopf, New York, Press, Cambridge Gabriel and A.

Aaron Bergman, Moduli spaces for Bondal quivers, available as arXiv:math. Ferrario and S. Terracini, On the existence of collisionless equivariant minimizers for the classical n-body problem. D69 Sundance O. Terry Gannon, The algebraic meaning of genus-zero, available as arXiv:math. Yongchang Zhu, Modular invariance of characters of vertex operator algebras, J. Soc 9 , Voituriez, Random walks on the braid group B 3 and magnetic translations in hyperbolic geometry, Nucl. Studies 72, Princeton U. Press, Princeton, New Jersey, Thomas M. Adrian P. Conway, Noam D. Elkies, Jeremy L. Havel and David G.

Cory, Solid-state NMR three-qubit homonuclear system for quantum information processing: control and characterization, Phys. A 73 , Nielsen and Isaac L. John Preskill, Quantum computation - lecture notes, references etc. Lo, S. Popescu, and T. Barbara M. Terhal and Guido Burkard, Fault-tolerant quantum computation for local non-markovian noise, Phys. A 71, Leff and Andrew F. Aristide Baratin and Laurent Freidel, Hidden quantum gravity in 4d Feynman diagrams: emergence of spin foams.

John Baez and Urs Schreiber, Higher gauge theory, to appear in the volume honoring Ross Street's 60th birthday, available as arXiv:math. Ralph C. Merkle, Two types of mechanical reversible logic, Nanotechnology 4 , Translated as "The consistency of arithmetic" in M. Szabo ed. Goodstein, On the restricted ordinal theorem, Journal of Symbolic Logic, 9 , Kirby and J.

Paris, Accessible independence results for Peano arithmetic, Bull. Alan M.

### Graduate Volume 267 in Texts Quantum Mathematicians For Mathematics Theory

Turing, Systems of logic defined by ordinals, Proc. George W. The Theory of Spinors. Differential Geometry of Curves and Surfaces. Manfredo P. Elementary Matrix Algebra. Franz E. First Steps in Differential Geometry. Andrew McInerney. Applications of Group Theory in Quantum Mechanics. Matrix Theory. Joel N. Methods of Applied Mathematics. Francis B. The Structure and Interpretation of the Standard Model. Gordon McCabe. Morton Hamermesh. Philosophy Of Physics. Lawrence Sklar. Nadir Jeevanjee.

Applied Group Theory. George H. A Course in Modern Mathematical Physics. Peter Szekeres. Foundations of Statistical Mechanics. Oliver Penrose. John A. An Introduction to Partial Differential Equations. Yehuda Pinchover. Spectral Theory and Quantum Mechanics. Valter Moretti. Yong-Geun Oh. Mathematical Aspects of Quantum Field Theory. Edson de Faria. Group Theory in Physics. John F. Robert Devaney.

Differential Equations. Mohana Shankar. Optimal Control and Geometry: Integrable Systems. Velimir Jurdjevic. Subtlety in Relativity. Sanjay Moreshwar Wagh. Matrix Operations for Engineers and Scientists. Alan Jeffrey. Cellular Automata And Complexity. Stephen Wolfram. Introduction to Partial Differential Equations with Applications. Relativity, Symmetry and the Structure of the Quantum Theory. William H. Computer Algebra in Quantum Field Theory. Carsten Schneider.

Michael Thambynayagam. Matrices and Transformations. Anthony J. Solomon Friedberg. An Introduction to Riemannian Geometry. Leonor Godinho. Lie Theory and Its Applications in Physics. Vladimir Dobrev. Lectures on the Mathematics of Quantum Mechanics I. Gianfausto Dell'Antonio. Light Barrier. Robert Stetson. Partial Differential Equations. Marcelo Epstein.

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Introduction to Partial Differential Equations. David Borthwick. Aspects of Symmetry. Sidney Coleman. Extensions of Positive Definite Functions.

## Some results of Vladimir Korepin

Palle Jorgensen. Nakhle H. Quantum Theory, Groups and Representations. Peter Woit. Mathematical Methods For Physics. Andreas Kirsch. Symmetries, Integrable Systems and Representations. Kenji Iohara. Mathematical Gauge Theory. Mark J. Principles Of Applied Mathematics. James P. Quantum Isometry Groups. Debashish Goswami. Multivariable Calculus with Applications. Peter D.

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Hajime Ishimori. Elementary Differential Equations.