Do Mathematicians Have Modest Goals?

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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.
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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."
 
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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."
 
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Thread 'RIP George F. Smoot III (1945-2025)'
https://en.wikipedia.org/wiki/George_Smoot https://physics.berkeley.edu/people/faculty/george-smoot-iii https://apc.u-paris.fr/fr/memory-george-fitzgerald-smoot-iii https://elements.lbl.gov/news/honoring-the-legacy-of-george-smoot/ https://www.nobelprize.org/prizes/physics/2006/smoot/facts/ https://www.aps.org/publications/apsnews/200611/nobel.cfm https://inspirehep.net/authors/988263 Structure in the COBE Differential Microwave Radiometer First-Year Maps (Astrophysical Journal...

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