Raffaele Lomartire, PhD student at I-MATH, UZH
This talk will introduce the geometric approach to Lagrangian Field Theory. After a review of some concepts from differential geometry, I will show that foliations are the natural geometric structure involved in the study of (nonlinear) PDEs. The variational principle of LFT is formulated using this geometric PDE language. To conclude, I will outline a program to include boundary effects, needed for formalizing contemporary general relativistic research trends.
Articles
- A self-contained introduction to the “Geometry of PDEs” can be found in Luca Vitagliano’s lecture notes, www.dipmat2.unisa.it/people/vitagliano/www/DG_PDEs.pdf.
- An up-to-date set of lecture notes on LFT is being written by Christian Blohmann, https://people.mpim-bonn.mpg.de/blohmann/Lagrangian_Field_Theory.pdf.
Recording
https://video.ethz.ch/speakers/theory/dfece918-b7c9-40c8-b18e-cb757de25036.html