Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Throughout the spring 2013 term, we will (as a group) be reading through and lecturing on ”The Geometry of Yang-Mills Fields” by Sir Michael Atiyah. All are welcome to attend.
We take a break from NIP to talk about dp-minimality. I will use a 2011 paper by Dolich, Goodrick, and Lippel.
Hodge structure is an abstract notion modeled on the Hodge decomposition of cohomology groups of compact Kähler manifolds. We will introduce the basic notion of Hodge structure and see its relation with geometric objects such as abelian varieties and Riemann surfaces. If time permits we will discuss variation of Hodge structure, which is an important tool in complex algebraic geometry.
This talk will be a very brief summary of the work done up to date on a question posted by J.H.C. Whitehead in 1941. We will go through the statement of the conjecture, and review some classical results. Finally, we will use an algebraic characterization of 2-complexes to understand one of the approaches taken to solve the problem.
Mingzhong Cai recently introduced the degrees of provability to
compare the proof-theoretic strength of statements asserting the
totality of computable functions. They can also be viewed as the
Lindenbaum algebra of true $\Pi^0_2$ statements in first-order
arithmetic. We investigate the structure of the degrees of
The main theme of this thesis is classifying classes of structures relative to various measurements. We will briefly discuss the notion of computable dimension, while the breadth of the paper will focus on calculating the Turing ordinal and the back-and-forth ordinal of various theories, along with an exploration of how these two ordinals are related in general.
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
The University of Waterloo acknowledges that much of our work takes place on the traditional territory of the Neutral, Anishinaabeg and Haudenosaunee peoples. Our main campus is situated on the Haldimand Tract, the land granted to the Six Nations that includes six miles on each side of the Grand River. Our active work toward reconciliation takes place across our campuses through research, learning, teaching, and community building, and is centralized within our Indigenous Initiatives Office.