### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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# Category Archives: Hodge Theory

## Prym Varieties

Let be an unramified double cover, where is geneus . Then has genus by the Riemann-Hurwitz formula. Now, encodes lots of information about the geometry of , especially with the additional data of the theta divisor. It turns out that … Continue reading

## Jacobians of Curves

As promised in the last post, I’m making another go at MaBloWriMo…maybe others will as well. I don’t know if I’m going to have a coherent topic over the course of this month, but I’ll be starting with abelian varieties … Continue reading

## The Schottky Problem (ICTP)

These are my notes, and are only a rough approximation of the actual talk:

## ICTP Day 14 – Doomsday

I gave my talk today. It seems to have gone over well, though I’m not entirely happy with it…but then, as with many people, I’m my own harshest critic. Here’s the notes from other talks, the notes from mine will … Continue reading

Posted in Conferences, Hodge Theory, ICTP Summer School
1 Comment

## ICTP Day 13 – The Conference

Sorry these are going up a bit later than usual, had some difficulties last night, and was working on my talk. I’m just not taking notes whenever there are slides or lecture notes on the overhead, because it’s impossible for … Continue reading

Posted in Conferences, Hodge Theory, ICTP Summer School
1 Comment

## Notes are posted

Just a quick little thing before the conference talks start, and I’m texing in earnest, the rest of the notes I was able to take during the summer school are now posted on my Notes page, here. They’re a bit … Continue reading

Posted in Conferences, Hodge Theory, ICTP Summer School
2 Comments

## ICTP Day 12 – End of the Summer School

The summer school is over. Tomorrow begins the conference, including talks from such luminaries as Arapura, Illusie, Griffiths…and that’s just the first three talks tomorrow. I’ll be talking on Thursday at 17:05, and until then, it’s polishing time for my … Continue reading

Posted in Conferences, Hodge Theory, ICTP Summer School
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## ICTP Day 11

Today was the penultimate day of the summer school. Once it finishes, there will be a conference, and things go through Friday, so all-in-all, there will be 15 days in this series. And here’s today’s notes:

Posted in Conferences, Hodge Theory, ICTP Summer School
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## ICTP Day 10

And these posts are getting shorter, as the talks that I’m even attempting to take notes in are finishing. The other talks are good, they’re just moving very, very fast and given a choice between learning and notetaking, I’m choosing … Continue reading

Posted in Conferences, Hodge Theory, ICTP Summer School
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## Greatest Moment

We just had the greatest moment of the summer school, and I doubt it will be topped. Mark Green is giving lectures and defines hypercohomology, and then mentions the musical “The Sound of Music” and quotes from it: Raindrops on … Continue reading

Posted in Conferences, Hodge Theory, ICTP Summer School, Math Culture
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