Monthly Archives: August 2014

100 Posts

Meaningless numerical milestones are a good a reason as any for an indulgent post. Today, I will discuss some facts from this blog which you might not otherwise know about. It will be in the form of an (mercifully short) … Continue reading

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The decline and fall of Publications Mathématiques de l’lHÉS

I want to discuss the decline of a once great journal. How did IHES go from this: and this: to this: It is a sad state of affairs. To be clear, I am talking about the typesetting here. The old … Continue reading

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Is Serre’s conjecture still open?

The conjecture in this paper has indeed been proven. But that isn’t the entire story. Serre was fully aware of Katz modular forms of weight one. However, Serre was too timid was prudently conservative and made his conjecture only for … Continue reading

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A flat white, please

Thanks to the New York Times, I can now order a flat white at my local cafe instead of an 8 ounce latte. Culture is coming to America, my friends!

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Horizontal Vanishing Conjectures.

Let be a number field, and let be a reductive group over , and let be a congruence subgroup of . I can hear BC objecting that this doesn’t make sense without extra choices; if you have such an objection, … Continue reading

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The Abelian House is not closed

Today I will talk about For an algebraic integer , the house is the absolute value of the largest conjugate of Kronecker proved the following: If , then either or a root of unity. If and lives in a CM … Continue reading

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The distribution of Hecke eigenvalues, part II

Here are some numbers from KB promised in my last post. “For the first 61595 newforms of squarefree level coprime to 15 here’s the field extension of Z/3Z generated by the field extensions:” Total Number Number of Galois conjugacy classes … Continue reading

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