Do Mathematicians Have Modest Goals?

  • Thread starter Thread starter George Jones
  • Start date Start date
  • Tags Tags
    Mathematics
AI Thread Summary
The discussion centers on a paper that explores cohomology classes on compact projective manifolds, drawing parallels to the Hard-Lefschetz Theorem and Hodge-Riemann bilinear relations. The introduction reflects on humanity's existential questions while acknowledging the paper's focus on advanced mathematical concepts rather than philosophical inquiries. The commentary highlights a desire for more groundbreaking claims in mathematical research, humorously contrasting the paper's approach with the ambition of proving significant conjectures like the Riemann Hypothesis. Overall, the conversation emphasizes the intersection of deep mathematical theory and the philosophical quest for understanding.
George Jones
Staff Emeritus
Science Advisor
Gold Member
Messages
7,643
Reaction score
1,601
From the Introduction to
https://arxiv.org/abs/2106.11285

"Since the dawn of time, human beings have asked some fundamental questions: who are we? why are we here? is there life after death? Unable to answer any of these, in this paper we will consider cohomology classes on a compact projective manifold that have a property analogous to the Hard-Lefschetz Theorem and Hodge-Riemann bilinear relations."
 
  • Like
Likes BillTre, Bandersnatch and PeroK
Physics news on Phys.org
It would have been really cool if a paper began,

"Since the dawn of time, human beings have asked some fundamental questions: who are we? why are we here? is there life after death? Unable to answer any of these, in this paper we will prove the Riemann Hypothesis."
 
  • Haha
  • Like
Likes nuuskur and BillTre
Similar to the 2024 thread, here I start the 2025 thread. As always it is getting increasingly difficult to predict, so I will make a list based on other article predictions. You can also leave your prediction here. Here are the predictions of 2024 that did not make it: Peter Shor, David Deutsch and all the rest of the quantum computing community (various sources) Pablo Jarrillo Herrero, Allan McDonald and Rafi Bistritzer for magic angle in twisted graphene (various sources) Christoph...
Thread 'My experience as a hostage'
I believe it was the summer of 2001 that I made a trip to Peru for my work. I was a private contractor doing automation engineering and programming for various companies, including Frito Lay. Frito had purchased a snack food plant near Lima, Peru, and sent me down to oversee the upgrades to the systems and the startup. Peru was still suffering the ills of a recent civil war and I knew it was dicey, but the money was too good to pass up. It was a long trip to Lima; about 14 hours of airtime...

Similar threads

Replies
4
Views
293
Replies
3
Views
2K
Replies
14
Views
5K
Replies
6
Views
4K
Replies
1
Views
4K
Replies
15
Views
20K
Replies
13
Views
5K
Replies
33
Views
4K
Replies
1
Views
2K
Back
Top