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The stable reduction theorem was proved by Grothendieck for Abelian varieties and subsequently by Deligne and Mumford for projective curves.
Late in the afternoon of Friday, 21 April, another important milestone was achieved in the LHC beam commissioning. At 6.58 p.m., one day ahead of schedule, the LHC Engineer in Charge declared “stable ...
Whether the 3D incompressible Euler equations can develop a finite-time singularity from smooth initial data is an outstanding open problem. In this talk, we will first review recent progress in singu...
Several topological optimization problems involving surfaces can be turned into linear programming problems. In the case of stable commutator length, this was first discovered by Danny Calegari in the...
It is a relatively recent discovery in geometric topology that optimization problems of certain topological complexity are connected to important geometric and topological information. One example is ...
The flight of insects may look effortless but, as with any animal, their movements would be wildly uneven without an intricate system of neural signaling and muscle response to stabilize and steer the...
In this talk, we present numerical approximations of a phase-field model for two-phase ferrofluids, which consists of the Navier-Stokes equations, the Cahn-Hilliard equation, the magnetostatic equatio...
Transportation produces a sizable amount of greenhouse gas emissions, largely by using petroleum to power internal combustion engines. Alternatives –- for example, organic materials such as grasses to...
Scientists for the first time have created a particular form of coherent and magnetized plasma jet that could deepen understanding of larger plasma jets that stream from newborn stars and possibly bla...
An ecosystem is made up of species, populations, communities, and a network of communities across a region.A team led by NSF-funded researchers at the University of California-Santa Barbara (UCSB) has...
Researchers from the University of Pennsylvania, in collaboration with Johns Hopkins University and Goucher College, have discovered a new topological material which may enable fault-tolerant quantum ...
Walking through a grassy field or forest take a moment to consider what lies beneath the surface. A web of plant roots interacts symbiotically with arbuscular mycorrhizal (AM) fungi that extend their ...
Life’s genetic code has only ever contained four natural bases. These bases pair up to form two “base pairs”—the rungs of the DNA ladder—and they have simply been rearranged to create bacteria and but...
Background: Iron deficiency is common in obese subjects. This may be due to an increase in serum hepcidin and a decrease in iron absorption from adiposity-related inflammation.

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