Topics will include:
A quick review of ML basics
Knot Theory with Reinforcement Learning
String Theory Compactifications
Calabi-Yau Manifolds and Ricci-flat Metrics
Genetic Algorithms, Quantum Annealing and Discrete Optimisation Problems
Classification of Fano Varieties
Artificial Intelligence techniques have become an integral part of our lives, being applied with tremendous success both in the private and academic sectors. It is unquestionable that we are witnessing the emergence of a new, fundamental tool that is starting to revolutionise how science is done. Mathematics and Theoretical Physics require a qualitatively different kind of AI tools, focused not only on results, but also on uncovering the mechanisms underlying them for the formulation of mathematically precise conjectures that can subsequently be approached using rigorous methods.
Many problems in Theoretical Physics, Algebraic Geometry and related areas in Pure Mathematics are beginning to develop fruitful interactions with Machine Learning. In parallel to these developments, establishing a firm theoretical understanding of Machine Learning will require methods from both Algebraic Geometry and Theoretical Physics, such as Quantum Field Theory. Promoting this fruitful interdisciplinary dialogue is the main purpose of the School.
The primary audience for the course consists of PhD students and young researchers working on Algebraic Geometry, Differential Geometry and Topology questions in String Theory, as well as Pure Mathematics. All courses will have minimum prerequisites, which will be soon detailed on this webpage. Each day of the programme will include 2-3 lectures in the morning, followed by tutorials in the afternoons. The tutorial sessions will focus on working out in detail the examples presented in the lectures, so as to build concrete experience with the material covered in lectures.
London Mathematical Society and Heilbronn Institute of Mathematical Research
About LMS Research Schools
The London Mathematical Society Research Schools provide training for research students in all contemporary areas of mathematics. Students and post-docs can meet a number of leading experts in the topic as well as other young researchers working in related areas.
The LMS Research Schools take place in the UK and support participation of research students from both the UK and abroad. The lecturers are expected to be international leaders in their field. The LMS Research Schools are often partially funded by the Heilbronn Institute for Mathematical Research.