# 月旦 IV

For May, 2016

The L-functions and modular forms database正式上线！

“I wish I could just casually hand Paul Erdos a copy of Annals of Math 181-1. 4 of the 7 papers are: solution to the Erdos distance conjecture by Guth and Nets Katz, solution to the Erdos covering congruence conjecture by Hough, Maynard’s paper on bounded gaps between primes, and the Bhargava-Shankar paper proving that the average rank of elliptic curves is bounded.”

Every effective 2-cycle class of a compact Calabi-Yau contains a holomorphic curve representative——物理学家的这个猜想非常有趣，应将其视为Hodge猜想的某种变式加以研究。考虑到我们并不知道Hodge猜想在Kähler流形上的变式该如何陈述（众所周知，Voison证否了经典的变式候选），一个在Calabi-Yau流形上的变式更显示出其价值。

Galois Representations

More on China’s giant accelerator program:

7月中国或将发射世界上首颗量子卫星。届时潘建伟团队在量子通讯、量子计算机方面的工作想必会得到更多媒体的关注吧。

The man who knew elliptic integrals, prime number theorems, and black holes

The man who knew partition asymptotics