Hello all,

Our last talk of the term will be given by Dr Monica Kang of Caltech on operator theory; details are below.

Before the talk on Monday, we will be hosting dinner with the speaker at YORI BBQ. If you are interested and would like to come along, please fill out the form circulated on the mailing list. Details will be confirmed in due course.

Title: Operator algebra in AdS/CFT
Speaker: Dr Monica Kang
Abstract: From the AdS/CFT correspondence, we have a holographic isometric map arising between the local operator algebras of the bulk theory and the boundary conformal field theory. I will explain how operator algebras can naturally be used for understanding spacetime theories in this physical context to unveil some structures of quantum gravity. In particular, I will focus on building the formalism on the bulk reconstruction from the boundary operators to the bulk operators and explain how quantum extremal surfaces aid in studying the relative entropy of the bulk and the boundary. I will further describe how we can understand the formulation in low-dimensions to describe the topology changes of the bulk.
Date: Monday 27 November
Time: 7pm
Location: Winstanley Lecture Theatre – Trinity College

Refreshments will be likely provided following the talk. In addition, Jane Street has asked us to share the following:

Applications for the 2024 Jane Street Graduate Research Fellowship (GRF) are now open! The Fellowship supports exceptional doctoral students currently pursuing a PhD in mathematics, computer science, physics, or statistics.

At Jane Street, we take a rigorous, quantitative approach to trading on global markets, combining techniques from machine learning, distributed systems, programmable hardware, statistics, and applied mathematics. Our culture is steeped in the idea that we will never stop solving; we’re looking forward to supporting technically excellent PhD students who share our core values of intellectual curiosity and humility. Those awarded the Fellowship will receive:

– Full tuition and fees covered for the upcoming academic year.
– A $45,000 USD stipend (or the equivalent in your local currency) to help with living expenses while completing their PhD.
– An invitation to visit our office to give a talk on any topic to Jane Street employees and other Fellowship recipients; all expenses paid.

Full details can be found here.

We hope to see you on Monday!