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SUMMARY:Optimal mass transportation: from Kantorovich to Monge\, from two 
 to many marginals.
DTSTART:20191021T161500
DTEND:20191021T173000
DTSTAMP:20260916T121730Z
UID:03a9aac9f3152aca83635c59bed953565ad444b4ecbdbea6c03303c6
CATEGORIES:Conferences - Seminars
DESCRIPTION:Anna Kausamo (Jyväskylä)  \nOnce upon a time there was a Fr
 ench mathematician called Gaspard Monge who set out to explore the problem
  of transporting mass from one place to another place in an optimal way. 
  More than 100 years later\, a Russian mathematician called Leonid Kantor
 ovich studied the duality between minimizing the cost and maximizing the b
 enefits of the transport. Today we study 'the Monge problem'\, 'the Kantor
 ovich Duality'\, and 'The Monge-Kantorovich problem'\, named in honor of t
 he two founding fathers of the field. In the most classical formulation of
  the problem\, we move mass from one place (formally: from one 'marginal' 
 measure) to another one\, and the transporting gets more expensive when th
 e transportation distance increases. But what happens if we have more than
  two marginals? What changes if the cost function is repulsive\, i.e. incr
 eases when the distance of the points to be coupled decreases? Why\, in pa
 rticular\, does the Monge problem become so difficult when we move from tw
 o to many marginals? And what is this Monge problem in the first place ?
LOCATION:MA B1 524
STATUS:CONFIRMED
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