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The Poincar? Seminar is held two times a yr on the Institut Henri Poincar? in Paris. The aim of this seminar is to supply updated information regarding normal issues of serious curiosity in physics. either the theoretical and experimental effects are lined, with a few historic history. specific care is dedicated to the pedagogical nature of the presentation.
Permit FG be the gang ring of a gaggle G over a box F. Write U(FG) for the crowd of devices of FG. it's an incredible challenge to figure out the stipulations below which U(FG) satisfies a gaggle identification. within the mid Nineteen Nineties, a conjecture of Hartley was once proven, specifically, if U(FG) satisfies a bunch id, and G is torsion, then FG satisfies a polynomial id.
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Extra resources for Communications in Mathematical Physics - Volume 238
Paris S´er. I Math. : Surface group representations, Higgs bundles, and holomorphic triples. : Reduction of the Hermitian–Einstein equation on K¨ahler fiber bundles. Tohoku Math. J. : The Hitchin–Kobayashi correspondence for twisted triples. Internat. J. Math. : Flat G-bundles with canonical metrics. J. Diff. Geom. : Anti self-dual Yang–Mills connections over complex algebraic surfaces and stable vector bundles. Proc. Lond. Math. Soc. : Infinite determinants, stable bundles and curvature. Duke Math.
Math. : Stable and unitary vector bundles on a compact Riemann surface. Ann. Math. : Constructing variations of Hodge structure using Yang–Mills theory and applications to uniformization. J. Amer. Math. Soc. : Stable pairs, linear systems and the Verlinde formula. Invent. Math. : On the existence of Hermitian–Yang–Mills connections on stable bundles over compact K¨ahler manifolds. Comm. Pure and Appl. Math. H. Dijkgraaf Commun. Math. Phys. 1007/s00220-003-0867-8 Communications in Mathematical Physics Enhanced Gauge Symmetry and Braid Group Actions Balázs Szendr˝oi1,2 1 2 Department of Mathematics, Utrecht University, PO.
We prove that whenever the associated mean-field theory predicts a discontinuous transition, the actual model also undergoes a discontinuous transition (which occurs near the mean-field transition temperature), provided the dimension is sufficiently large or the first-order transition in the meanfield model is sufficiently strong. As an application of our general theory, we show that for d sufficiently large, the 3-state Potts ferromagnet on Zd undergoes a first-order phase transition as the temperature varies.