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Results tagged with reference-request
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user 85392
This tag is used if a reference is needed in a paper or textbook on a specific result.
5
votes
0
answers
528
views
Roadmap for the ideas expressed in Grothendieck's Esquisse d'un Programme
I would like to understand Grothendieck's Esquisse d'un Programme more. Are there any references that would help me, and are there modern works pursuing the same themes?
At this point I am still curr …
- 3,309
3
votes
0
answers
638
views
Roadmap to "Lego Teichmuller"
From a basic understanding of algebraic geometry (on the level of Gathmann's old lecture notes), algebraic number theory (on the level of the first chapter of Neukirch's Algebraic Number Theory), and …
- 3,309
10
votes
1
answer
539
views
Igusa's $\chi_{10}$ and Borcherds products
Igusa defined a genus 2 Siegel modular form $\chi_{10}$, which vanishes on the Humbert surface $G_{1}$ (the image of a "degenerate" Hilbert modular surface, the product of modular curves, inside the S …
- 3,309
24
votes
2
answers
3k
views
Roadmap to Hill-Hopkins-Ravenel
How does one go from an understanding of basic algebraic topology (on the level of Allen Hatcher's Algebraic Topology and J.P. May's A Concise Course in Algebraic Topology) to understanding the paper …
- 3,309
6
votes
A road to inter-universal Teichmuller theory
I'll try to cover the "considerable gap" mentioned in Myshkin's answer, from algebraic geometry on the level of Hartshorne to Mochizuki's work. As a disclaimer, I'll mention that my understanding of M …
- 3,309
29
votes
Vladimir Voevodsky's works
Aside from his work on the foundations of mathematics, which others have already elaborated on, earlier in his career Voevodsky also proved the Milnor conjecture in algebraic geometry. The Milnor conj …
7
votes
0
answers
550
views
Background on Kontsevich's Work on Quantization
Where can I find background reading material necessary to be able to read about Maxim Kontsevich's work on quantization? I would like to able to follow the ongoing seminar of IHES, "Resurgence and Qua …
- 3,309
12
votes
2
answers
3k
views
Alternatives to "Sketches of an Elephant" Volume 3
The third volume of Peter Johnstone's massive compendium of topos theory, "Sketches of an Elephant", is yet to be published. The volume is supposed to discuss cohomology and mathematical universes in …
- 3,309
7
votes
1
answer
1k
views
Szpiro's conjecture for function fields and Mochizuki's approach to the number field case
Where can I find more details on the proof of Szpiro's conjecture for function fields, as mentioned in Minhyong Kim's answer to this MO question?
I am looking at this in the context of Mochizuki's mu …
- 3,309
12
votes
2
answers
1k
views
What is the Perrin-Riou logarithm (or regulator)?
Recently I've been rewatching some recordings of old talks on L-functions and explicit reciprocity laws (in particular, the series of talks by Loeffler and Zerbes given at this workshop at the CRM in …
- 3,309