ABC Day 4

The play showing today at the Hodge Theatre was a farce.

Yesterday there was some optimism that something concrete would happen today, starting from the result that Kedlaya explained. Namely, that the valuation of the discriminant of an elliptic curve of bad reduction could be obtained by group theory from the tempered fundamental group of the affine curve obtained by deleting the origin from the curve over a local field. Today, Kedlaya started by tidying up some technical details from yesterday.

Mok then gave an one hour lecture with motivations for what would came next, which didn't help me. He then started with Hodge theaters and it was another barrage of definitions without clear purpose. These seem to be collections of interlinked categories of various sorts. They are attached to the affine curve X obtained by deleting the origin from an elliptic curve over a number field and contain at least the etale fundamental group of X at the good places, the tempered fundamental group of X at the bad places and whatever comes out of TAAG III Cor 4.5 (which nobody understood Tuesday) at the ugly, er archimedian, places. It also had some information about the ground number field but I didn't get that. The talk also suffered from bad scheduling and unfortunate computer problems. I found the general cluelessness humorous but Fesenko was not amused.

At the afternoon tea break, everybody was confused. I asked many people and nobody had a clue.

After that, Hoshi gave a very technical talk about Hodge theaters, etale theta functions and the mysterious theta link but I was too exhausted to follow.

Unfortunately, the optimism from the morning had dissipated in the afternoon and the energy was gone from the room. The crowd was unusually quiet. Tomorrow we have four hours of Yamashita plus a Skype session with Mochizuki. I don't know what to expect.

The play showing today at the Hodge Theatre was a farce.

Yesterday there was some optimism that something concrete would happen today, starting from the result that Kedlaya explained. Namely, that the valuation of the discriminant of an elliptic curve of bad reduction could be obtained by group theory from the tempered fundamental group of the affine curve obtained by deleting the origin from the curve over a local field. Today, Kedlaya started by tidying up some technical details from yesterday.

Mok then gave an one hour lecture with motivations for what would came next, which didn't help me. He then started with Hodge theaters and it was another barrage of definitions without clear purpose. These seem to be collections of interlinked categories of various sorts. They are attached to the affine curve X obtained by deleting the origin from an elliptic curve over a number field and contain at least the etale fundamental group of X at the good places, the tempered fundamental group of X at the bad places and whatever comes out of TAAG III Cor 4.5 (which nobody understood Tuesday) at the ugly, er archimedian, places. It also had some information about the ground number field but I didn't get that. The talk also suffered from bad scheduling and unfortunate computer problems. I found the general cluelessness humorous but Fesenko was not amused.

At the afternoon tea break, everybody was confused. I asked many people and nobody had a clue.

After that, Hoshi gave a very technical talk about Hodge theaters, etale theta functions and the mysterious theta link but I was too exhausted to follow.

Unfortunately, the optimism from the morning had dissipated in the afternoon and the energy was gone from the room. The crowd was unusually quiet. Tomorrow we have four hours of Yamashita plus a Skype session with Mochizuki. I don't know what to expect.

- You said nobody had a clue but what about Fesenko, Yamashita, et al. since they have actually checked the detail of Mochizuki's work?Dec 10, 2015
- +meowziklvr Here is how one colleague described Yamashita in an email he sent to several people (mostly not attending):

"Yamashita seems to be quite a character — he would regularly interrupt talks to “make a remark” and then while sitting in the front row he would speak in a barely perceptible voice for several minutes while staring straight ahead".

Of the participants who profess to understand the proof (Yamashita, Hoshi and Fesenko) only Hoshi has given half reasonable answers to questions. But even Hoshi has left us wanting. The first two have an excuse of a language barrier but Fesenko doesn't.Dec 10, 2015 - You may think that Yamashita is quite a unusual person. However most japanese people behave like this. By the way, I'm always wondering why he always wears a kimono.Dec 11, 2015
- group of X ?Feb 12, 2016