|Monday 22 October 2018|
|Events for day: Thursday 25 October 2018|
| 10:00 - 11:00 Weekly Seminar|
The philosophical analysis of the Price Equation as a model for evolutionary changes
Models play a key role in scientific descriptions and explanations. The speech deals with one of the most famous models in the theory of evolution, the Price Equation, and has six sections. 1. At first, the two main categories of mathematical models in science are introduced: Analytical models derived from definitions and empirical models derived from tables of data. 2. Then the Price Equation is introduced as an analytic model for describing evolutionary changes. 3. I also try to answer this question: "does the analyticity of the Price Equation make the theory of evolution tautological?" 4. Among the strengths of the equation is its unifying ...
9:30 - 10:30 Combinatorial Commutative Algebra Weekly Seminar
T-Clique Ideal of a Graph
For any positive integer $t$ and any finite simple graph $G$, we associate a monomial ideal to $G$ whose minimal generators correspond to cliques of $G$ of cardinality $t$ and call it the $t$-clique ideal of $G$. It generalizes the edge ideal notion in some sense, since the edge ideal of $G$ can be seen as a $2$-clique ideal. We investigate some algebraic properties of this ideal and generalize some results on edge ideals to t-clique ideals. ...