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DTSTART;TZID=America/Toronto:20251128T143000
SEQUENCE:0
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URL:https://uwaterloo.ca/pure-mathematics/events/logic-seminar-84
SUMMARY:Logic Seminar
CLASS:PUBLIC
DESCRIPTION:CHRISTINE EAGLES\, UNIVERSITY OF WATERLOO     \n\n_Algebrai
 c Independence of solutions to multiple Lotka-Volterra\nsystems  _   
       \n\nA major problem in recent applications of the model theory 
 of DCF_0 is\ndetermining when a given system of algebraic differential equ
 ations\ndefines a strongly minimal set. A definable set S is strongly mini
 mal\nif it is infinite and for any other definable set R (over any set of\
 n\nparameters)\, either S\\cap R or S\\setminus R is finite. In joint work
 \nwith Yutong Duan and Leo Jimenez\, we classify exactly when the\nsolutio
 n set to a Lotka-Volterra system is strongly minimal. In the\nstrongly min
 imal case\, we classify all algebraic relations between\nLotka-Volterra sy
 stems and show that for any distinct solutions\nx_1\,...\,x_n (not in the 
 algebraic closure of the base field F)\,\ntrdeg(x_1\, ...\, x_m/F) = 2m. \
 n\nMC 5403
DTSTAMP:20260504T185941Z
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