Category Archives: Conferences

Today we kept going with the advanced topics, and started Shimura varieties, though that one went VERY fast. As always, comments and corrections are welcome!

Today we started the third part of the summer school: Algebraic Cycles, Arithmetic aspects of Hodge Structures-Mumford-Tate Groups. There was actually quite a bit of review today, which surprised me, and instead of taking notes on the definition of Hodge … Continue reading →

Today was the last day of “basic Hodge theory”…so we talked about intersection cohomology and the decomposition theorem and the like. I admit to losing the thread of the lectures a couple of times (marked in the notes) and not … Continue reading →

And today, Hodge theory is in full swing. There were some commutative diagrams today, and wordpress is famous for not supporting xy, so I’ll do what I can.

Here’s the second set of notes, the beginning of the crash course in Hodge theory before we get to advanced topics next week. My notes from the first day and a half are available here, please let me know if … Continue reading →

This is the end of the preliminary background lectures. This afternoon, we start Hodge Theory itself, with Hodge Structures, Variations, and Hodge Theory of Maps as the three lecture series. Tonight, when I post the notes for the next three … Continue reading →

More of the background stuff. Tomorrow I’ll be making two posts, one around lunchtime here, with the last background material and links to complete notes without having to deal with the vagaries of wordpress formatting (I’ve noticed that theorem, example, … Continue reading →

So, I’ve put the actual lecture notes below the fold.  Today was a back-to-basics day, to make sure everyone has the same definitions (and I think to give people time to get used to the area before diving into the … Continue reading →