| XXth
Oporto Meeting on Geometry, Topology and Physics |
||
| 19th to 22nd July 2012 | ||
Talks 3: |
Courses | Invited talks | talks | 1 | 2 | 3 |
|
| Speaker |
Talk |
| Sergey
Mayburov (Lebedev Inst. of Physics, Moscow) |
Fuzzy Topology, Quantization and Gauge
Invariance |
| Sérgio Mendes (ISCTE-IUL, Lisbon, Portugal) | The Aubert-Baum-Plymen conjecture and the
principal series of SL(2) Abstract:
please
see
Printed file (pdf) |
| Aleksandar Mikovic (Lusófona Univ. and GFMUL, Lisbon, Portugal) | Spin cube models of quantum gravity Abstract:
Spin cube models represent a categorification
of spin foam models, in the sense that spin foam models are path integrals
for BF theories, while spin cube models are path integrals for 2-BF theories. These are theories of
fake-
at 2-connections for 2-groups, and for General Relativity the relevant 2-group is the
Poincare 2-group.
References: [1] arXiv:1110.4694, Poincare 2-group and quantum gravity, A. Mikovic and M. Vojinovic. [2] arXiv:1006.0903, Lie crossed modules and gauge-invariant actions for 2-BF theories, J. F. Martins and A. Mikovic, Adv. Theor. Math. Phys. vol. 15, nr 4 (2011). |
| Todor
Popov (INRNE, Bulgarian Academy of Sciences, Bulgaria)
|
Homotopy commutative algebra and
2-nilpotent Lie algebra Abstract:
We consider the universal enveloping algebra
U of the 2-nilpotent free Lie algebra. It is a model of the general
linear group GL(V ), i.e., a representation which contains each
irreducible finite dimensional representation of GL(V ), once and
exactly once. We use the Kadeishvili's Homotopy transfer theorem to the
Yoneda algebra of U and prove that it is a homotopy commutative and
associative algebra generated in degree one thus providing a natural
generalization of the Koszul dual for non-quadratic algebras. (in
collaboration with Michel Dubois-Violette)
|
>>> Printed file (pdf)