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For cake: Preheat oven to 350°F.
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Butter and flour 9 inch diameter cake pan with 2 inch sides.
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Line bottom of pan with parchment.
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Dust pan with flour; tap out excess.
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Stir butter and chocolate in heavy medium saucepan over low heat until smooth.
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Set aside.
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Using electric mixer, beat eggs and sugar in large bowl until slightly thickened.
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Add corn syrup and beat until slowly dissolving ribbons form when beaters are lifted.
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Pour chocolate mixture into the egg mixture and fold together gently.
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Pour batter into prepared pan.
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Bake until tip of knife inserted into center comes out clean, about 1 hour.
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Cool completely in pan on rack.
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Invert cake onto 7 1/2 inch cardboard round.
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Peel off parchment.
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Place cake on cardboard on rack set over a cookie sheet.
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For Glaze: Bring cream to simmer in heavy medium saucepan.
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Reduce heat to low.
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Add chocolate; stir until melted.
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Remove from heat; let stand until just cool.
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Whisk in butter and syrup.
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Pour glaze over cake; spread with spatula to cover top and sides.
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Refrigerate cake overnight.
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(Can be prepared 3 days ahead; cover and keep refrigerated.) Cut cake into slices.
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Serve cold.