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X-WR-CALNAME:Environmental Studies
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BEGIN:VEVENT
DTSTART:20250314T210000Z
UID:187942@events.unl.edu
DTSTAMP:20250210T162812Z
ORGANIZER;CN=Eloísa Grifo:
SUMMARY:Jack Jeffries\, University of Nebraska-Lincoln
STATUS:CONFIRMED
DESCRIPTION:You are all expert at differentiating by x\, but you might not 
 be familiar with differentiating by 13 or another prime number. In this ta
 lk\, we will discuss how the integers\, or polynomial rings over the integ
 ers\, can be considered as a geometric object. Our motivating question is 
 to find all of the “corners” or “folds” — singularities — in t
 he solution set of equations in such geometric objects. Motivated by this 
 problem\, we will introduce Buium and Joyal’s notion of p-derivation\, a
  version of differentiation by a prime number. Using p-derivations\, we wi
 ll give a description of the locus of singularities in geometric objects o
 ver the integers. We will also discuss a few other applications of p-deriv
 ations.\n\nThis is based on joint work with Melvin Hochster.
LOCATION:Avery Hall Room 115
URL://events.unl.edu/ENVR/2025/03/14/187942/
DTEND:20250314T215000Z
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