WOMP 2012

Talks and forums take place in Eckhart 206 unless otherwise noted.

Purple events are mandatory or informational. Come to them.
Green events are math talks meant to refresh your memory or preview the first-year courses.
Orange events are for enjoyment and bonding. They are highly recommended.

Week 1
Day	Morning	Afternoon	Evening
Monday Sept. 17	10am: Welcome and Tour of Hyde Park Meet in Eckhart 206.	1pm: Review Point-set Topology (Charles Staat) Metric spaces, topological spaces. Continuous functions, convergence, compactness, connectedness. Lots of examples. Linear Algebra (John Wilmes) Vector spaces, bases, linear independence, dimension, morphisms, matrices, rank, Jordan form, Cayley-Hamilton, semisimple and nilpotent decompositions.	8pm: Game Night in the Barn Meet in the Barn (big room on the 3rd floor where Eckhart meets Ryerson) for board and card games. Sponsored by the UChicago chapter of the AWM.
Tuesday Sept. 18	10am: Geometry/Topology I Algebraic Topology (Zhouli Xu and Nick Salter) Homotopies, fundamental group, covering spaces and universal cover, fundamental theorem of covering space theory, group actions.Homology of spaces, Lefschetz fixed-point theorem. Examples.	1pm: Forum on Life in Chicago
Wednesday Sept. 19	10am: Algebra I Abstract Algebra (Robin Walters) An example-based introduction to rings, modules, localization, and the structure theorem for finitely generated modules over a principal ideal domain. Tensor products, fields, and Galois theory. Representation theory (Daniele Rosso) Representations of finite groups, characters, Lie algebras, representations of Lie algebras.	1pm: Analysis I Measure Theory (Max Engelstein) Motivation for Lebesgue integration. Lebesgue dominated convergence theorem. Function spaces. Notions of convergence: pointwise, uniform, L^p, in measure. Fourier series, Fourier transforms. Complex Analysis (Laurie Field) Basic definitions and properties of holomorphic and meromorphic functions. Poles, residues and Cauchy's formula. Theorems of Morera, Liouville, Montel and Vitali. Some examples and applications. Riemann Mapping Theorem.	6pm: Dinner at Medici For more information, see the Medici website and a map. Meet in the first year office at 5:45pm, or at the restaurant at 6pm.
Thursday Sept. 20	10am: Geometry/Topology II Manifold Theory (Jenny Wilson) Definition of smooth and topological manifolds. Examples. Calculus in R^n, change of variables. Partitions of unity. Inverse and implicit function theorems. Tangent Spaces. Differential Topology (Wouter Van Limbeek) Transversality and intersection theory, Hopf degree theorem, Poincare-Hopf and Hairy Ball theorems, Morse theory and some applications	1pm: Trip to Art Institute of Chicago Meet at the #6 bus stop at 55th and S. Hyde Park Blvd. Admission is free with UChicago student ID. Bus fare is $2.25 each way if you pay cash. See the museum website for more information.
Friday Sept. 21	10am: Algebra II Number Theory (Valia Gazaki) Dedekind domains, rings of integers and definition of the ideal class group of an algebraic number field. Finiteness of the ideal class number and applications. Commutative Algebra (Asilata Bapat) Rings, prime and maximal ideals, localization, topology of affine schemes, Noether normalization, Nullstellensatz, modules and their basic homological properties.	1pm: Analysis II Functional Analysis and PDE (Jessica Lin and Casey Rodriguez) Banach/Hilbert space theory, Hahn-Banach theorem, duality, weak topologies, general PDE, variational formulation, Sobolev spaces.	5pm: Bowling at Seven-Ten Lanes Meet at Seven-Ten Lanes, near 55th and Ellis. 7pm: Hyde Park Bar Crawl We will start with dinner at Seven-Ten Lanes.To participate in the bar crawl, you must have either a passport or a US state ID/driver's license, it must not be expired, and it must say that you are at least 21 years old.
Saturday Sept. 22	1pm: Trip Downtown Meet at the #6 bus stop at 55th and S. Hyde Park Blvd. We'll start in the loop and walk northward, following a path that may include Millenium Park, the Cultural Centre, the Magnificent Mile, Navy Pier, the Hancock Tower, the beaches, Lincoln Park, and/or the Zoo. Those who would like dinner before returning home should bring their ID, just to be safe.
Sunday Sept. 23	Day off
Week 2
Day	Morning	Afternoon	Evening
Monday Sept. 24	10am in Ryerson358: Geometry/Topology III Bundle Theory (Bena Tshishiku) Fiber bundles, vector bundles. Many examples. Riemannian Geometry (Katie Mann) Riemannian metrics, geodesics, the exponential map, parallel transport for dummies (a.k.a. how do I think about connections?) and curvature. If time permits: some theory of Lie groups.	1pm in Ryerson358: Research Talks	8pm: Bonfire at the Point Meet at Promontory Point.
Tuesday Sept. 25	11am: Graduate Student Orientation in E203 Begins at Rockefeller Chapel, following a procession at 10:15am from the Main Quad. See the event website for more information. The event includes a welcome convocation, lunch, an information fair, and 30-minute rotating panel discussions in the Max Palevsky Cinema in Ida Noyes. 12:00pm First-Year Photo Meet on the front steps of Eckhart. 1pm: Department Orientation 4pm: Graduate Student Social Hour Takes place in the Pub and Cloister Club of Ida Noyes.
Wednesday Sept. 26	Morning free	1pm: Algebra III Category Theory (Michael Smith) Basic definitions and motivation;,lots of examples of categories. Functors and natural transformations, products and coproducts. Limits, colimits, and adjoint functors if time permits. Applications: Brouwer's fixed point theorem and topological social choice. Homological Algebra (Preston Wake) Chain complexes, free and projective modules, projective resolutions. Derived functors, Ext, Tor, Yoneda Ext, extensions. The Koszul complex. Time permitting, Homological dimension, Hilbert's syzygy theorem.	6:30pm-10:30pm Fall Poker Tournament Spectaculár (featuring Chicken!) Hosted by Math Frat, 5442 S. Ellis. This is for everyone who has been asking when the next poker tournament is, but it is also for everyone who hasn't been asking but should have been. For those interested, come at 6pm for a chris-tastic explanation of the rules. Cheat sheets will be provided. We will order ribs 'n' bibs (and vegetarian options) for dinner for all those interested. Please bring a little cash for food if you want it. Beer and fancy cocktails will be available.
Thursday Sept. 27	10am: Research Talks	12.30-3.30pm: International Student Orientation The OIA Orientation is mandatory for international students. It takes place at the International House Assembly Hall (map). Click for more information on the OIA and IHouse.	6pm: Dinner in Chinatown and North Side Bar Crawl Meet at the #55 bus stop at 55th and Woodlawn. You will need a Chicago Card (preferred) or a lot of $1 bills to pay for transit. If you are coming to the bar crawl after dinner, you must have either a passport or a US state ID/driver's license, it must not be expired, and it must say that you are at least 21 years old.
Friday Sept. 28	11am: Sleep in / Pancake Breakfast Meet at Valois Restaurant, near 53rd St. and Harper Ave. 2pm: Forum on How to Get Through the First Year Program Older graduate students will give their take on the first year program, and advice about what you can do to make it more useful and enjoyable.	5pm: Department Picnic Organized by the second-year class. Takes place outside, behind Eckhart.
Saturday Sept. 29	2:30pm: Walk Downtown for Dinner Meet in the first-year office (or at the Point at 3pm) for a lakeside walk downtown to Giordano's Pizza at 223 W. Jackson Blvd (map). We will reach the restaurant at around 6pm. Anyone planning to meet us at the restaurant should phone Tim Black at 608-333-3000 by 4pm so he can make reservations.
Sunday Sept. 30	Nothing planned. Classes begin Monday!