Print Friendly printer friendly
 Events
Brian Marcus
UBC
Thu 24 Apr 2014, 4:00pm
Symbolic Dynamics and Ergodic Theory Seminar
Math Annex 1102
Computing entropy and pressure of stationary Z^d Markov random fields
Math Annex 1102
Thu 24 Apr 2014, 4:00pm-5:30pm

Abstract

For any stationary mZ^d Gibbs measure that satisfies strong spatial mixing, we obtain sequences of upper and lower approximations that converge to its entropy. In the case d=2, these approximations are efficient in the sense that they are accurate to within epsilon and can be computed in time polynomial in 1/epsilon. The method is extended to approximate pressure of Gibbs interactions. Joint work with Ronnie Pavlov.
hide
TBA
Tue 6 May 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
TBA
TBA
Tue 6 May 2014, 3:30pm-4:30pm

Abstract


hide
UC Berkeley
Mon 12 May 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012 (PIMS building)
TBA
ESB 2012 (PIMS building)
Mon 12 May 2014, 3:30pm-4:30am

Abstract


hide
University of Hagen
Tue 13 May 2014, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 4127
Scaling of R\'enyi entanglement entropies of the free Fermi-gas ground state
ESB 4127
Tue 13 May 2014, 3:30pm-4:30pm

Abstract

In the remarkable paper [Phys. Rev. Lett. 96, 100503 (2006)], Dimitri Gioev and Israel Klich conjectured
an explicit formula for the leading asymptotic growth of the spatially bi-partite von-Neumann entanglement
entropy of non-interacting fermions in multi-dimensional Euclidean space at zero temperature. Based on
recent progress by one of us (A.V.S.) in semi-classical functional calculus for pseudo-differential operators
with discontinuous symbols, we provide here a complete proof of that formula and of its generalization to
R\'enyi entropies of all orders $\alpha>0$. The special case $\alpha=1/2$ is also known under the name
logarithmic negativity and often considered to be a particularly useful quantification of entanglement. These
formulas, exhibiting a ``logarithmically enhanced area law'', have been used already in many publications.

This is joint work with Hajo Leschke and Alexander V. Sobolev which will be published in Phys. Rev. Lett.
hide
MIT
Mon 26 May 2014, 1:30pm
Department Colloquium
MATH ANNEX 1100
Niven Lecture: Undecidability in number theory
MATH ANNEX 1100
Mon 26 May 2014, 1:30pm-2:30pm

Abstract

Hilbert's Tenth Problem asked for an algorithm that, given a multivariable polynomial equation with integer coefficients, would decide whether there exists a solution in integers.  Around 1970, Matiyasevich, building on earlier work of Davis, Putnam, and Robinson, showed that no such algorithm exists.  But the answer to the analogous question with integers replaced by rational numbers is still unknown, and there is not even agreement among experts as to what the answer should be.

Note for Attendees

There will be a departmental reception and student awards from 12:00pm-1:30pm in MATH 125.
hide
Graduate Students in Mathematics and Statistics
Western Canada and the Pacific Northwest
Mon 2 Jun 2014, 9:00am SPECIAL
PIMS Seminars and PDF Colloquiums
UBC (June 2-4, 2014)
PIMS Young Researchers Conference
UBC (June 2-4, 2014)
Mon 2 Jun 2014, 9:00am-10:00am
hide
Seoul National University, Korea.
Thu 12 Jun 2014, 3:30pm SPECIAL
Diff. Geom, Math. Phys., PDE Seminar
Date, time, location, TBA
TBA
Date, time, location, TBA
Thu 12 Jun 2014, 3:30pm-4:30pm

Abstract


hide
Mathematics Graduate Students, Post Docs, Faculty
Mon 7 Jul 2014, 8:30am SPECIAL
One Time Event
UBC (July 7-12, 2014)
West Coast Algebraic Topology Summer School
UBC (July 7-12, 2014)
Mon 7 Jul 2014, 8:30am-5:00pm

Details

This summer school is aimed at graduate students and post-docs, though all are welcome. The scientific goal is for participants to learn about the different aspects of the study of topological field theories, reaching the research frontier as much as possible. These different aspects include:
(1) the origins of topological quantum field theory in physics;
(2) the mathematical formulation and relation to bordism theory;
(3) extended theories and the cobordism hypothesis;
(4) examples and applications, such as string topology, factorization homology, and examples from representation theory.

Please visit www.pims.math.ca/scientific-event/140707-wcatss for further details and the registration process.

 
hide
 
Top