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UID:0-1608@hmc.edu
DTSTART;TZID=America/Los_Angeles:20250916T190000
DTEND;TZID=America/Los_Angeles:20250916T203000
DTSTAMP:20250812T044314Z
URL:https://www.hmc.edu/calendar/events/moody-lecture-inequalities-for-tre
 es-graphs-and-matroids-federico-ardila-mantilla/
SUMMARY:Moody Lecture: "Inequalities for Trees\, Graphs and Matroids\," Fed
 erico Ardila-Mantilla
DESCRIPTION:In their 1971 study of telephone circuits\, Graham and Pollak d
 esigned a novel addressing scheme that was better suited for the faster co
 mmunication required by computers. They introduced the distance matrix of 
 a graph\, and used its eigenvalues to determine how short the addresses ca
 n be. We continue their investigation\, obtaining more precise spectral in
 formation about tree distance matrices. These results\, combined with the 
 theory of Lorentzian polynomials\, allow us to prove some conjectural ineq
 ualities about graphs and matroids that are very easy to state but have ta
 ken decades to prove.\nSpeaker\nFederico Ardila-Mantilla is a Colombian-Am
 erican mathematician and musician. He obtained his PhD from MIT in 2003 an
 d has been a professor of mathematics at San Francisco State University si
 nce 2005. In his research\, Ardila-Mantilla investigates objects in algebr
 a\, geometry\, topology and applications by understanding their underlying
  combinatorial structure. His interests include polytopes\, matroids\, hyp
 erplane arrangements\, Lie and Coxeter combinatorics\, Hopf algebras and t
 ropical geometry.\n\nArdila-Mantilla loves working with and learning from 
 students: he has advised over 50 thesis students. He founded the SFSU-Colo
 mbia Combinatorics Initiative\, an international research and educational 
 collaboration that also hosts more than 200 hours of free combinatorics le
 ctures on YouTube. He also co-directed the Mathematical Sciences Research 
 Institute Undergraduate Program in Berkeley\, California\, a summer resear
 ch program designed to increase the participation of minoritized racial gr
 oups in mathematics.\n\nHe is a winner of the National Science Foundation 
 CAREER Award for research\, the Mathematical Association of America's Nati
 onal Haimo Award for Teaching and the American Mathematical Society's "Mat
 hematics Programs that Make a Difference" Award for service. He is also a 
 Fellow of the American Mathematical Society and the Colombian Academy of S
 cience and an Invited Speaker at the International Congress of Mathematici
 ans.\n\nFederico is always searching for ways to grow and foster an increa
 singly diverse\, equitable and welcoming community of mathematicians that 
 empowers and serves the needs of all. His efforts are grounded on the foll
 owing axioms:\n\n 	Mathematical potential is equally present among differe
 nt groups\, irrespective of geographic\, demographic\, and economic bounda
 ries.\n 	Everyone can have joyful\, meaningful\, and empowering mathematic
 al experiences.\n 	Mathematics is a powerful\, malleable tool that can be 
 shaped and used differently by various communities to serve their needs.\n
  	Every student deserves to be treated with dignity and respect.\n\n&nbsp\
 ;
ATTACH;FMTTYPE=image/jpeg:https://www.hmc.edu/calendar/wp-content/uploads/
 sites/39/2025/08/Ardila-MantillaFederico.jpg
CATEGORIES:General Feed,TCCS Feed: Lecture
LOCATION:Shanahan Center\, 320 E. Foothill Blvd.\, Claremont\, CA\, 91711\,
  United States
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