Mini-workshop: Reflection positivity in representation theory, stochastics and physics. Abstracts from the mini-workshop held November 30 – December 6, 2014. (English) Zbl 1349.00230
Summary: The central focus of the workshop was reflection positivity, its occurrence in physics, representation theory, abstract harmonic analysis, and stochastic analysis. The program was intrinsically interdisciplinary and included talks covering different aspects of reflection positivity.
MSC:
| 00B05 | Collections of abstracts of lectures |
| 00B25 | Proceedings of conferences of miscellaneous specific interest |
| 22-06 | Proceedings, conferences, collections, etc. pertaining to topological groups |
| 81-06 | Proceedings, conferences, collections, etc. pertaining to quantum theory |
| 22E66 | Analysis on and representations of infinite-dimensional Lie groups |
| 22E70 | Applications of Lie groups to the sciences; explicit representations |
| 17B10 | Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) |
| 22E65 | Infinite-dimensional Lie groups and their Lie algebras: general properties |
| 81T08 | Constructive quantum field theory |
References:
| [1] | A. Alldridge, Fr’echet globalisations of Harish-Chandra supermodules. arXiv:1403.4055, 30 pp. Submitted. |
| [2] | A. Alldridge, J. Hilgert, and M. Laubinger, Harmonic analysis on Heisenberg–Clifford supergroups, J. London Math. Soc. 87 (2013), no. 2, 561–585. · Zbl 1375.43002 |
| [3] | A. Alldridge and Z. Shaikh, Superbosonization via Riesz superdistributions, Forum Math. Sigma 2 (2014), e9, 64 pp. · Zbl 1315.58008 |
| [4] | J.B. Conrey, D.W. Farmer, and M.R. Zirnbauer, Howe pairs, supersymmetry, and ratios of random characteristic polynomials for the unitary groups U(N ). arXiv:math-ph/0511024, 76 pp. |
| [5] | P. Deligne and J.W. Morgan, Notes on supersymmetry (following Joseph Bernstein). In: P. Deligne et al. (eds.), Quantum Fields and Strings: a Course for Mathematicians. Amer. Math. Soc., Providence, RI, 1999, pp. 41–97. · Zbl 1170.58302 |
| [6] | R. Howe, The oscillator semigroup. In: The Mathematical Heritage of Hermann Weyl (Durham, NC, 1987). Proc. Sympos. Pure Math. 48, Amer. Math. Soc., Providence, RI, 1999, pp. 61–132. |
| [7] | A.T. Huckleberry, A. P”uttmann, and M.R. Zirnbauer, Haar expectations of ratios of random 3068Oberwolfach Report 55/2014 · Zbl 1339.32008 |
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