Andrea PulitaI was invited to spend a term at the ICL by Ambrus Pal. I was supposed to spend three months at ICL from January to March 2020, but the Covid-19 pandemic suddenly interrupted my visit in March.

My mathematical interests are essentially centered around p-adic differential equations and related topics such as p-adic representations, p-adic cohomologies, p-adic q-difference equations, Berkovich geometry, .... In particular, during the term at the Imperial College of London, I was working on some cohomological problems on p-adic locally convex spaces. The time at Imperial was really fruitful from this angle.

At the same time, I was working with Ambrus Pal on a certain p-adic analogue of the Riemann existence theorem for a certain class of p-adic differential modules. I had intense and fruitful discussions with him about possible new directions within these topics. He has been extremely kind and he openly shared some of his ideas with me and I did the same with him. In the end we have found a potential new approach to the theory of p-adic exponents of p-adic differential equations.

I spent about two months at ICL which gave me the opportunity to understand the structure of number theory in UK, and more in particular in London. I had the opportunity to follow several seminars, and give a talk in Oxford University.

Together with Ambrus Pal, I have organised a conference at the Imperial College of London. The conference was supposed to take place in June 2020, but has been moved to December due to the Covid-19 pandemic. Allow me to thank all the institutions that made it possible: IDEX Université Grenoble Alpes, Imperial College of London, Agence Nationale Recherche, Cecilia Tanner Research Funding Scheme, European Research Council, Clay Mathematical Institute, London Mathematical Society, Foundation Compositio Mathematica, Heilbronn Institute
for Mathematical Research, Elsevier, IDEX Université Grenoble Alpes, Institut Fourier.

In parallel I had mathematical exchanges with Konstantin Ardakov (Oxford University), Jeffery Giansiracusa (Swansea University) and Christopher Lazda (Warwick University).

Allow me to mention that the application to the ICL-CNRS fellow is quite long to prepare (about 1 year), but it is really efficient both on the UK and the French sides, and the experience is worth it.


Host: Dr Ambrus Pal

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