### 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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# Monthly Archives: April 2009

## Quaternion Algebras and Modular Forms

Dear readers, I know I promised a post on modular curves, but I had to devote more time to my end of semester project. Since it’s strongly related to the topic of modular curves and I present on it tomorrow, … Continue reading

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## Pieri and Giambelli Formulas

It’s been a few weeks, but now I’m back and today we’ll talk about the multiplication in the cohomology ring of Grassmannians. Though we won’t talk about the Littlewood-Richardson rule in its full glory, we will howver discuss the special … Continue reading

## The Grothendieck-Riemann-Roch Theorem, Stated

Suppose you have a proper map between smooth (quasi) projective varieties. Then suppose you have a coherent sheaf on . After viewing that sheaf as an element of the Grothendieck Group of coherent sheaves on , there are two things … Continue reading