Math phys colloquium

**Fyrirlesari: **Emil Have, University of Edinburgh

**Titill: **Newton-Cartan Submanifolds and Biophysical (Fluid) Membranes

Staðsetning: L-201 Lögberg

Tími: Þriðjudag 8.oktúber kl. 11:00

#### Ágrip:

Originally developed to provide a geometric foundation for
Newtonian gravity, Newton-Cartan geometry and its torsionful generalization
have recently experienced a revival of interest, particularly in the contexts
of non-AdS holography and various condensed matter problems — notably the quantum
Hall effect. In this talk, I will describe a general theory of Newton-Cartan
submanifolds. A covariant description of non-relativistic fluids on surfaces is
an important open problem with a wide range of applications in for example
biophysics. Recasting ‘elastic’ models, such as the Canham-Helfrich bending
energy, in a Newton-Cartan setting allows for a covariant notion of
non-relativistic time and provides the ideal starting point for a treatment of
Galilean fluids on extremal submanifolds using the technology of hydrostatic
partition functions.

Math colloquium

**Fyrirlesari: Henning Arnór Úlfarsson,
Háskólinn í Reykjavík**

**Titill: **Pattern avoidance in various domains

Staðsetning: HB5 (Háskólabíó)

Tími: Föstudag 25.oktúber kl. 11:40

#### Ágrip:

When one searches the web for „pattern avoidance“ most of the results are about pattern avoiding permutations and their variants, such as colored, partial, multi-, affine, signed, and poset permutations. However there are definitions and results about similar concepts in other objects, such as graphs and topological spaces. We will survey these examples of pattern avoidance as well as highlighting more recent variants, such as polyominoes, integer partitions and alternating sign matrices.

This talk will be accessible to any student who has walked past a room where discrete mathematics was being taught.

Math Phys seminar

**Fyrirlesari: Jesús Zavala Franco, Háskóli
Íslands og Javier Israel Reynoso Córdoba, Universidad de Guanajuato**

**Titill: **The Boltzmann equation for a rarefied fluid in linear perturbation
theory

Staðsetning: HB5 (Háskólabíó)

Tími: Föstudag 4.oktúber kl. 11:40

#### Ágrip:

Linear perturbation theory is the basis upon which we understand
the initial growth of density perturbations in the early Universe. This theory
has been developed and studied extensively in two extreme regimes: i) the fluid
regime and ii) the collisionless regime. The former is applicable to the
photon-baryon plasma, while the latter is commonly used to describe dark
matter. There is however, a relevant class of dark matter models, known
generically as self-interacting dark matter, where the Knudsen number is around
1, which lies in between these regimes. Linear perturbation theory in this
regime remains essentially unexplored, requiring a full treatment of the
Collisional Boltzmann equation. In this talk, we will present an overview of
the problem and present our preliminary progress towards describing this regime.

Applications are invited for a postdoctoral position at the University of Iceland financed by The Icelandic Research Fund. The research project is called:

„Scaling limits of random enriched trees“

and is in the field of probabilistic combinatorics. The project includes studying scaling limits of random graphs, statistical mechanical models on random planar maps and related subjects. The application deadline is October 15, 2019, however applications will continue to be accepted until the position is filled.

We are looking for a candidate who has completed a PhD within the last 5 years or is close to defending a PhD thesis. Her/his specialization and interests should be in this area.

Applications should be sent directly by e-mail to sigurdur[at]hi.is, including a CV, list of publications or an abstract of a planned PhD thesis, a research statement and names and e-mail addresses of two referees, who have agreed to provide recommendation.

The appointment is for two years from the 1st of Novenber 2019, or otherwise according to agreement All applications will be answered.

For further information please contact:

Prof. Sigurdur Orn Stefansson (e-mail: sigurdur[at]hi.is)

Math
colloquium

**Fyrirlesari:
Björn Birnir, Center for Complex and Nonlinear Science at the
University of California at Santa Barbara (UCSB)**

**Titill:
When can we expect the Greenland glacier to melt?**

Staðsetning: VR-II,V-258

Tími: Þriðjudag 27.ágúst kl. 11:00

#### Ágrip:

It
was suggested by Rose (2005) that because of the migratory and
responsive nature of the capelin, a small pelagic fish that is key to
the ecology and fisheries of the North Atlantic, it can be viewed as
the „canary in the coalmine“ to detect signals of
environmental changes in the Arctic Ocean. In this talk we will
combine analysis of data and extensive simulations of the migrations
of the capelin and its physiology to analyze the changes in the ocean
environment taking place over the last half-century. The
environmental data for the last thirty year is obtained from a
database called Copernicus, constructed by the European Union. Our
goals will be to understand and predict the migrations of the capelin
and its interactions with the ocean environment. We will explain how
these have changed over time and how they are likely to change in the
future. Then we will explain how our simulations can be compared with
data, with the aim of finding out the rate of the temperature changes
in the Arctic Ocean and when thresholds for major disruptions in
Arctic environments are likely to be reached. The recent changes in
the spawning routes of the capelin lead to a startling
prediction.

Math Phys seminar

**Fyrirlesari: Hólmfríður Sigríðar Hannesdóttir , Harvard University**

**Titill: I**nfrared Finite S-matrix elements and Cross Sections

Staðsetning: A-050

Tími: Þriðjudag 27.ágúst kl. 14:00

#### Ágrip:

Quantum field theory (QFT) works remarkably well for making theoretical predictions in collider scattering experiments. One of the fundamental objects in these calculations, the scattering matrix (S-matrix), is inspired by a well defined operator in non-relativistic quantum mechanics, but is plagued with both ultraviolet (UV) and infrared (IR) divergences in QFT. The UV divergences are now understood through the program of renormalization, but IR divergences remain an active area of research. Three approaches have been explored to define IR finite quantities, which will all be discussed in this talk: i) The cross section method, ii) modification of the S-matrix, and iii) the dressed state formalism. The minimal set of processes required for a finite cross section will be examined, along with the need for forward scattering and disconnected diagrams. We will furthermore explore how the usual assumptions about evolution of the scattering states at asymptotic times are broken in a theory with massless particles, and how the universality of the interactions leading to IR divergences in such theories can be exploited to define finite S-matrix elements.

PhD midway evaluation

**Fyrirlesari: Juan Fernando Angel Ramelli, HÍ**

**Titill: **Entanglement entropy of the quantum Lifshitz model

Staðsetning: A-050

Tími: Þriðjudag 27.ágúst kl. 09:00

#### Ágrip:

The quantum Lifshitz model (QLM) is a toy model used for studying scale invariant systems in which time and space scale on different footing. This type of behavior occurs, for example, in the context of critical phenomena. Entanglement entropy is a purely quantum measure of correlation between subsystems. It is a useful theoretical probe, as it encodes certain universal properties of critical models. I review the QLM as well as its generalization to higher dimensions, and show how to construct its excited states on compact manifolds. Through careful application of the replica method, I demonstrate that analytic results can be obtained for the entanglement entropy of both its ground state and its excited states.

Math Phys seminar

**Fyrirlesari: Mohab Abou Zeid, Imperial College London**

**Titill: **T-duality in (2,1) superspace and SKT geometry

Staðsetning: VR-II, V-156

Tími: Föstudag 23.ágúst kl. 14:00

#### Ágrip:

I will explain our recent derivation of the T-duality transformation rules for two-dimensional (2,1) supersymmetric sigma-models in (2,1) superspace. To this end I will first review the gauging of sigma-models in (2,1) superspace and present a new manifestly real and geometric expression for the gauged action. I will also discuss the obstructions to gauging (2,1) sigma-models and show that the obstructions to (2,1) T-duality are considerably weaker than the obstructions to gauging. Our complexified T-duality transformations are equivalent to the usual Buscher duality transformations (including an important refinement) together with diffeomorphisms. Time permitting, I will mention some possible applications of our results.

Math Phys seminar

**Fyrirlesari: Ro Jefferson, Albert Einstein Institute Potsdam**

**Titill: **Black hole interiors and modular inclusions

Staðsetning: VR-II, V-156

Tími: Fimmtudag 22.ágúst kl. 14:00

#### Ágrip:

We show how the traversable wormhole induced by a double-trace deformation of the thermofield double state can be understood as a modular inclusion of the algebras of exterior operators. The effect of this deformation is the creation of a new region of spacetime deep in the bulk, corresponding to a non-trivial center between the left and right algebras. This set-up provides a precise framework for investigating how black hole interiors are encoded in the CFT. In particular, we use modular theory to demonstrate that state dependence is an inevitable feature of any attempt to represent operators behind the horizon. Building on this geometrical structure, we propose that modular inclusions may provide a more precise means of investigating the nascent relationship between entanglement and geometry in the context of the emergent spacetime paradigm.

Math
Phys seminar

**Fyrirlesari:** Arnbjorg Soffia Arnadottir**,University
of Waterloo**

**Titill:** Continuous Quantum Walks

Staðsetning: VR-II, V-158

Tími: Fimmtudag 22.ágúst kl. 11:00

#### Ágrip:

Continuous quantum walks arise naturally as quantum analogues of
continuous random walks, but in contrast to their classical counterparts, they
exhibit some curious and counter-intuitive properties. I will give an
introductory talk on continuous quantum walks and present some of these
exciting properties.

The motivation for studying quantum walks largely comes from quantum physics
and quantum computing, however, the emphasis of this talk will be on the
mathematics. In particular, no prior knowledge of anything quantum is
assumed.