Plus: What Are Sheaves?; Tight-Knit microbes make a vital nutrient; New episode from "The Joy of Why"; New insights into prime numbers

Math and Science News from Quanta Magazine View this email in your browser MATHEMATICS | ALL TOPICS   Monumental Proof Settles Geometric Langlands Conjecture By ERICA KLARREICH In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. Read the article MATHEMATICS   What Are Sheaves? By KONSTANTIN KAKAES These metaphorical gardens have become central objects in modern mathematics. Read the article MICROBIOLOGY   Tight-Knit Microbes Live Together to Make a Vital Nutrient By DAN SAMORODNITSKY At sea, biologists discovered microbial partners that together produce nitrogen, a nutrient essential for life.  Read the article THE JOY OF WHY   Will AI Ever Have Common Sense? Co-hosted by STEVEN STROGATZ Why are the trickiest queries often easier for ChatGPT to answer than relatively simple questions that hinge on basic common sense? Listen to the podcast Read the transcript   NUMBER THEORY   'Sensational' Proof Delivers New Insights Into Prime Numbers By JORDANA CEPELEWICZ The proof creates stricter limits on potential exceptions to the famous Riemann hypothesis. Read the article Follow Quanta Unsubscribe | About Quanta | My Bookmarks Privacy Policy | Terms | Contact Us   Copyright © 2024 Quanta Magazine, an editorially independent division of the Simons Foundation Simons Foundation 160 5th Avenue, 7th Floor New York, NY 10010