An episode of arithmetic topology

Japanese version
Now, although this article does not relate to arithmetic topology, the beginning of Dr. Lieven's blog is the work of Dr. David Mumford, and he talked about the textbook of the algebra geometry. I was very astonishing because the figure on it are the ones that I studied in my youth from some pirate edition(?) of Mumford's textbook, which might be of mimeographed type and I post the following article.

An episode of arithmetic topology

two translations from en.wiki

Japanese version of Langlands Program
Japanese version of Local Langlands Conjecture

Because in Japanese wikipedia there are no items about Langlands program I translated them.

the original articles：

Langlands program

Local Langlands conjectures

The opportunity of geometric Langlands

Japanese version
About the opportunity which comes to write Mr. Kapustin, and "electricity and magnetism and geometric Langlands", E. Witten told in a lecture "Gauge Theory and the Geometric Langlands Program" at StonyBrook on August 10, 2005. The following report is based on notes by Ram Sriharsha.

The report:
Gauge Theory and the Geometric Langlands Program

I translate the part of it, which contains that Dr. Witten listened Ben-zvi's lecture, and I posted my Japanese BLOG restricted to the opportunity of geometric Langlands.