So what have I done so far? Met many people, heard many interesting stories, saw some amazing places...
First, still exhausted with my exam and a long family lunch the following day, I packed and left for Germany. There I studied algebraic stacks, in Mainz. It was difficult and challenging but I still think I got a lot out of the school, perhaps not as much as others, as my background was not ideal, but I really loved the week full of beautiful algebraic math. I enjoyed both the very categorical reasoning and the purely algebraic ones, moreover, they tied together in an amazing way.
The speakers were of amazing quality and even though 4 lectures a day were a lot (especially for me, with no reasonable mathematical working habits)
this was us after all the lectures at the end of the week |
I started reading FGA explained and was really impressed by the theory. Of course, I haven't got very far, but Angelo Vistoli's part (especially with his excellent exposition live) was very enjoyable for me. I am grateful that I could visit the school and perhaps I will pursue this topic later again, because I am still interested in moduli problems (to which I am indebted to the marvellous Lucia Caporaso), but there is a lot of geometry behind it I need to fill in. But I am working on it!